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Finding the Third Proportional to 287,818.31 and 431,761.64

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Solution

The third proportional to 287,818.31 and 431,761.64 is: 647,693.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,818.31 : 431,761.64 = 431,761.64 : x
  2. Step 2: Convert to fraction form
    287,818.31/431,761.64 = 431,761.64/x
  3. Step 3: Cross multiply
    287,818.31x = 431,761.64 × 431,761.64
  4. Step 4: Simplify right side
    287,818.31x = 186,418,114,315.19
  5. Step 5: Solve for x
    x = 186,418,114,315.19/287,818.31
  6. Step 6: Final answer
    x = 647,693.72

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