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Finding the Third Proportional to 287,289.75 and 454,691.25

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Solution

The third proportional to 287,289.75 and 454,691.25 is: 719,636.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,289.75 : 454,691.25 = 454,691.25 : x
  2. Step 2: Convert to fraction form
    287,289.75/454,691.25 = 454,691.25/x
  3. Step 3: Cross multiply
    287,289.75x = 454,691.25 × 454,691.25
  4. Step 4: Simplify right side
    287,289.75x = 206,744,132,826.56
  5. Step 5: Solve for x
    x = 206,744,132,826.56/287,289.75
  6. Step 6: Final answer
    x = 719,636.30

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These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.