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Finding the Third Proportional to 295,712 and 457,463

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Solution

The third proportional to 295,712 and 457,463 is: 707,689.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,712 : 457,463 = 457,463 : x
  2. Step 2: Convert to fraction form
    295,712/457,463 = 457,463/x
  3. Step 3: Cross multiply
    295,712x = 457,463 × 457,463
  4. Step 4: Simplify right side
    295,712x = 209,272,396,369
  5. Step 5: Solve for x
    x = 209,272,396,369/295,712
  6. Step 6: Final answer
    x = 707,689.90

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.