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Finding the Third Proportional to 581,782.50 and 898,350.75

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Solution

The third proportional to 581,782.50 and 898,350.75 is: 1,387,174.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    581,782.50 : 898,350.75 = 898,350.75 : x
  2. Step 2: Convert to fraction form
    581,782.50/898,350.75 = 898,350.75/x
  3. Step 3: Cross multiply
    581,782.50x = 898,350.75 × 898,350.75
  4. Step 4: Simplify right side
    581,782.50x = 807,034,070,025.56
  5. Step 5: Solve for x
    x = 807,034,070,025.56/581,782.50
  6. Step 6: Final answer
    x = 1,387,174.88

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.