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Finding the Third Proportional to 561,451.50 and 869,251.50

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Solution

The third proportional to 561,451.50 and 869,251.50 is: 1,345,794.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    561,451.50 : 869,251.50 = 869,251.50 : x
  2. Step 2: Convert to fraction form
    561,451.50/869,251.50 = 869,251.50/x
  3. Step 3: Cross multiply
    561,451.50x = 869,251.50 × 869,251.50
  4. Step 4: Simplify right side
    561,451.50x = 755,598,170,252.25
  5. Step 5: Solve for x
    x = 755,598,170,252.25/561,451.50
  6. Step 6: Final answer
    x = 1,345,794.20

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.