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Finding the Third Proportional to 506,092.50 and 764,367.75

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Solution

The third proportional to 506,092.50 and 764,367.75 is: 1,154,449.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    506,092.50 : 764,367.75 = 764,367.75 : x
  2. Step 2: Convert to fraction form
    506,092.50/764,367.75 = 764,367.75/x
  3. Step 3: Cross multiply
    506,092.50x = 764,367.75 × 764,367.75
  4. Step 4: Simplify right side
    506,092.50x = 584,258,057,240.06
  5. Step 5: Solve for x
    x = 584,258,057,240.06/506,092.50
  6. Step 6: Final answer
    x = 1,154,449.15

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.