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Finding the Third Proportional to 296,895.38 and 639,717.75

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Solution

The third proportional to 296,895.38 and 639,717.75 is: 1,378,393.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,895.38 : 639,717.75 = 639,717.75 : x
  2. Step 2: Convert to fraction form
    296,895.38/639,717.75 = 639,717.75/x
  3. Step 3: Cross multiply
    296,895.38x = 639,717.75 × 639,717.75
  4. Step 4: Simplify right side
    296,895.38x = 409,238,799,665.06
  5. Step 5: Solve for x
    x = 409,238,799,665.06/296,895.38
  6. Step 6: Final answer
    x = 1,378,393.99

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.