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Finding the Third Proportional to 318,419.25 and 432,672

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Solution

The third proportional to 318,419.25 and 432,672 is: 587,920.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    318,419.25 : 432,672 = 432,672 : x
  2. Step 2: Convert to fraction form
    318,419.25/432,672 = 432,672/x
  3. Step 3: Cross multiply
    318,419.25x = 432,672 × 432,672
  4. Step 4: Simplify right side
    318,419.25x = 187,205,059,584
  5. Step 5: Solve for x
    x = 187,205,059,584/318,419.25
  6. Step 6: Final answer
    x = 587,920.04

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These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.