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Finding the Third Proportional to 343,877,328 and 755,310,284

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Solution

The third proportional to 343,877,328 and 755,310,284 is: 1,659,003,309.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,877,328 : 755,310,284 = 755,310,284 : x
  2. Step 2: Convert to fraction form
    343,877,328/755,310,284 = 755,310,284/x
  3. Step 3: Cross multiply
    343,877,328x = 755,310,284 × 755,310,284
  4. Step 4: Simplify right side
    343,877,328x = 570,493,625,116,160,640
  5. Step 5: Solve for x
    x = 570,493,625,116,160,640/343,877,328
  6. Step 6: Final answer
    x = 1,659,003,309.22

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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.