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Finding the Third Proportional to 296,252.44 and 656,565.75

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Solution

The third proportional to 296,252.44 and 656,565.75 is: 1,455,105.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,252.44 : 656,565.75 = 656,565.75 : x
  2. Step 2: Convert to fraction form
    296,252.44/656,565.75 = 656,565.75/x
  3. Step 3: Cross multiply
    296,252.44x = 656,565.75 × 656,565.75
  4. Step 4: Simplify right side
    296,252.44x = 431,078,584,073.06
  5. Step 5: Solve for x
    x = 431,078,584,073.06/296,252.44
  6. Step 6: Final answer
    x = 1,455,105.61

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These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.