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Finding the Third Proportional to 532,761 and 814,998

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Solution

The third proportional to 532,761 and 814,998 is: 1,246,753.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    532,761 : 814,998 = 814,998 : x
  2. Step 2: Convert to fraction form
    532,761/814,998 = 814,998/x
  3. Step 3: Cross multiply
    532,761x = 814,998 × 814,998
  4. Step 4: Simplify right side
    532,761x = 664,221,740,004
  5. Step 5: Solve for x
    x = 664,221,740,004/532,761
  6. Step 6: Final answer
    x = 1,246,753.69

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.