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Finding the Third Proportional to 532,778 and 812,463

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Solution

The third proportional to 532,778 and 812,463 is: 1,238,970.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    532,778 : 812,463 = 812,463 : x
  2. Step 2: Convert to fraction form
    532,778/812,463 = 812,463/x
  3. Step 3: Cross multiply
    532,778x = 812,463 × 812,463
  4. Step 4: Simplify right side
    532,778x = 660,096,126,369
  5. Step 5: Solve for x
    x = 660,096,126,369/532,778
  6. Step 6: Final answer
    x = 1,238,970.31

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.