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Finding the Third Proportional to 272,454.38 and 593,952.75

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Solution

The third proportional to 272,454.38 and 593,952.75 is: 1,294,821.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,454.38 : 593,952.75 = 593,952.75 : x
  2. Step 2: Convert to fraction form
    272,454.38/593,952.75 = 593,952.75/x
  3. Step 3: Cross multiply
    272,454.38x = 593,952.75 × 593,952.75
  4. Step 4: Simplify right side
    272,454.38x = 352,779,869,232.56
  5. Step 5: Solve for x
    x = 352,779,869,232.56/272,454.38
  6. Step 6: Final answer
    x = 1,294,821.82

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.