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Finding the Third Proportional to 256,861.13 and 554,882.06

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Solution

The third proportional to 256,861.13 and 554,882.06 is: 1,198,679.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,861.13 : 554,882.06 = 554,882.06 : x
  2. Step 2: Convert to fraction form
    256,861.13/554,882.06 = 554,882.06/x
  3. Step 3: Cross multiply
    256,861.13x = 554,882.06 × 554,882.06
  4. Step 4: Simplify right side
    256,861.13x = 307,894,103,284.25
  5. Step 5: Solve for x
    x = 307,894,103,284.25/256,861.13
  6. Step 6: Final answer
    x = 1,198,679.26

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.