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Finding the Third Proportional to 569,200.50 and 865,451.25

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Solution

The third proportional to 569,200.50 and 865,451.25 is: 1,315,891.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    569,200.50 : 865,451.25 = 865,451.25 : x
  2. Step 2: Convert to fraction form
    569,200.50/865,451.25 = 865,451.25/x
  3. Step 3: Cross multiply
    569,200.50x = 865,451.25 × 865,451.25
  4. Step 4: Simplify right side
    569,200.50x = 749,005,866,126.56
  5. Step 5: Solve for x
    x = 749,005,866,126.56/569,200.50
  6. Step 6: Final answer
    x = 1,315,891.09

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.