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Finding the Third Proportional to 429,517.31 and 631,128

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Solution

The third proportional to 429,517.31 and 631,128 is: 927,372.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,517.31 : 631,128 = 631,128 : x
  2. Step 2: Convert to fraction form
    429,517.31/631,128 = 631,128/x
  3. Step 3: Cross multiply
    429,517.31x = 631,128 × 631,128
  4. Step 4: Simplify right side
    429,517.31x = 398,322,552,384
  5. Step 5: Solve for x
    x = 398,322,552,384/429,517.31
  6. Step 6: Final answer
    x = 927,372.52

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.