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Finding the Third Proportional to 457,513 and 660,023.50

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Solution

The third proportional to 457,513 and 660,023.50 is: 952,171.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,513 : 660,023.50 = 660,023.50 : x
  2. Step 2: Convert to fraction form
    457,513/660,023.50 = 660,023.50/x
  3. Step 3: Cross multiply
    457,513x = 660,023.50 × 660,023.50
  4. Step 4: Simplify right side
    457,513x = 435,631,020,552.25
  5. Step 5: Solve for x
    x = 435,631,020,552.25/457,513
  6. Step 6: Final answer
    x = 952,171.90

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These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.