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Finding the Third Proportional to 457,326 and 657,679.50

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Solution

The third proportional to 457,326 and 657,679.50 is: 945,807.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,326 : 657,679.50 = 657,679.50 : x
  2. Step 2: Convert to fraction form
    457,326/657,679.50 = 657,679.50/x
  3. Step 3: Cross multiply
    457,326x = 657,679.50 × 657,679.50
  4. Step 4: Simplify right side
    457,326x = 432,542,324,720.25
  5. Step 5: Solve for x
    x = 432,542,324,720.25/457,326
  6. Step 6: Final answer
    x = 945,807.42

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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.