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Finding the Third Proportional to 343,347 and 771,132

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Solution

The third proportional to 343,347 and 771,132 is: 1,731,905.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,347 : 771,132 = 771,132 : x
  2. Step 2: Convert to fraction form
    343,347/771,132 = 771,132/x
  3. Step 3: Cross multiply
    343,347x = 771,132 × 771,132
  4. Step 4: Simplify right side
    343,347x = 594,644,561,424
  5. Step 5: Solve for x
    x = 594,644,561,424/343,347
  6. Step 6: Final answer
    x = 1,731,905.51

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Why These Related Problems?

These problems maintain the same ratio (2.25) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.