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Finding the Third Proportional to 343,877,309.25 and 755,310,248.63

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Solution

The third proportional to 343,877,309.25 and 755,310,248.63 is: 1,659,003,244.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,877,309.25 : 755,310,248.63 = 755,310,248.63 : x
  2. Step 2: Convert to fraction form
    343,877,309.25/755,310,248.63 = 755,310,248.63/x
  3. Step 3: Cross multiply
    343,877,309.25x = 755,310,248.63 × 755,310,248.63
  4. Step 4: Simplify right side
    343,877,309.25x = 570,493,571,677,959,296
  5. Step 5: Solve for x
    x = 570,493,571,677,959,296/343,877,309.25
  6. Step 6: Final answer
    x = 1,659,003,244.27

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.