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Finding the Third Proportional to 532,776 and 812,460

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Solution

The third proportional to 532,776 and 812,460 is: 1,238,965.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    532,776 : 812,460 = 812,460 : x
  2. Step 2: Convert to fraction form
    532,776/812,460 = 812,460/x
  3. Step 3: Cross multiply
    532,776x = 812,460 × 812,460
  4. Step 4: Simplify right side
    532,776x = 660,091,251,600
  5. Step 5: Solve for x
    x = 660,091,251,600/532,776
  6. Step 6: Final answer
    x = 1,238,965.82

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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.