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Finding the Third Proportional to 457,201.13 and 724,551.75

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Solution

The third proportional to 457,201.13 and 724,551.75 is: 1,148,236.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,201.13 : 724,551.75 = 724,551.75 : x
  2. Step 2: Convert to fraction form
    457,201.13/724,551.75 = 724,551.75/x
  3. Step 3: Cross multiply
    457,201.13x = 724,551.75 × 724,551.75
  4. Step 4: Simplify right side
    457,201.13x = 524,975,238,428.06
  5. Step 5: Solve for x
    x = 524,975,238,428.06/457,201.13
  6. Step 6: Final answer
    x = 1,148,236.98

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These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.