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Finding the Third Proportional to 664,254 and 932,080

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Solution

The third proportional to 664,254 and 932,080 is: 1,307,892.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    664,254 : 932,080 = 932,080 : x
  2. Step 2: Convert to fraction form
    664,254/932,080 = 932,080/x
  3. Step 3: Cross multiply
    664,254x = 932,080 × 932,080
  4. Step 4: Simplify right side
    664,254x = 868,773,126,400
  5. Step 5: Solve for x
    x = 868,773,126,400/664,254
  6. Step 6: Final answer
    x = 1,307,892.95

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.