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Finding the Third Proportional to 621,853 and 932,596

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Solution

The third proportional to 621,853 and 932,596 is: 1,398,618.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    621,853 : 932,596 = 932,596 : x
  2. Step 2: Convert to fraction form
    621,853/932,596 = 932,596/x
  3. Step 3: Cross multiply
    621,853x = 932,596 × 932,596
  4. Step 4: Simplify right side
    621,853x = 869,735,299,216
  5. Step 5: Solve for x
    x = 869,735,299,216/621,853
  6. Step 6: Final answer
    x = 1,398,618.80

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.