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Finding the Third Proportional to 312,537 and 466,748

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Solution

The third proportional to 312,537 and 466,748 is: 697,049.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,537 : 466,748 = 466,748 : x
  2. Step 2: Convert to fraction form
    312,537/466,748 = 466,748/x
  3. Step 3: Cross multiply
    312,537x = 466,748 × 466,748
  4. Step 4: Simplify right side
    312,537x = 217,853,695,504
  5. Step 5: Solve for x
    x = 217,853,695,504/312,537
  6. Step 6: Final answer
    x = 697,049.29

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.