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Finding the Third Proportional to 316,344 and 746,742

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Solution

The third proportional to 316,344 and 746,742 is: 1,762,712.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    316,344 : 746,742 = 746,742 : x
  2. Step 2: Convert to fraction form
    316,344/746,742 = 746,742/x
  3. Step 3: Cross multiply
    316,344x = 746,742 × 746,742
  4. Step 4: Simplify right side
    316,344x = 557,623,614,564
  5. Step 5: Solve for x
    x = 557,623,614,564/316,344
  6. Step 6: Final answer
    x = 1,762,712.79

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.