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Finding the Third Proportional to 571,758 and 762,239.50

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Solution

The third proportional to 571,758 and 762,239.50 is: 1,016,180.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    571,758 : 762,239.50 = 762,239.50 : x
  2. Step 2: Convert to fraction form
    571,758/762,239.50 = 762,239.50/x
  3. Step 3: Cross multiply
    571,758x = 762,239.50 × 762,239.50
  4. Step 4: Simplify right side
    571,758x = 581,009,055,360.25
  5. Step 5: Solve for x
    x = 581,009,055,360.25/571,758
  6. Step 6: Final answer
    x = 1,016,180.02

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These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.