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Finding the Third Proportional to 285,671.25 and 451,966.50

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Solution

The third proportional to 285,671.25 and 451,966.50 is: 715,065.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,671.25 : 451,966.50 = 451,966.50 : x
  2. Step 2: Convert to fraction form
    285,671.25/451,966.50 = 451,966.50/x
  3. Step 3: Cross multiply
    285,671.25x = 451,966.50 × 451,966.50
  4. Step 4: Simplify right side
    285,671.25x = 204,273,717,122.25
  5. Step 5: Solve for x
    x = 204,273,717,122.25/285,671.25
  6. Step 6: Final answer
    x = 715,065.72

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Why These Related Problems?

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