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Finding the Third Proportional to 239,565.38 and 523,842.75

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Solution

The third proportional to 239,565.38 and 523,842.75 is: 1,145,454.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    239,565.38 : 523,842.75 = 523,842.75 : x
  2. Step 2: Convert to fraction form
    239,565.38/523,842.75 = 523,842.75/x
  3. Step 3: Cross multiply
    239,565.38x = 523,842.75 × 523,842.75
  4. Step 4: Simplify right side
    239,565.38x = 274,411,226,727.56
  5. Step 5: Solve for x
    x = 274,411,226,727.56/239,565.38
  6. Step 6: Final answer
    x = 1,145,454.46

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.