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Finding the Third Proportional to 664,252 and 932,077

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Solution

The third proportional to 664,252 and 932,077 is: 1,307,888.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    664,252 : 932,077 = 932,077 : x
  2. Step 2: Convert to fraction form
    664,252/932,077 = 932,077/x
  3. Step 3: Cross multiply
    664,252x = 932,077 × 932,077
  4. Step 4: Simplify right side
    664,252x = 868,767,533,929
  5. Step 5: Solve for x
    x = 868,767,533,929/664,252
  6. Step 6: Final answer
    x = 1,307,888.47

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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.