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Finding the Third Proportional to 256,276.13 and 407,301.75

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Solution

The third proportional to 256,276.13 and 407,301.75 is: 647,328.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,276.13 : 407,301.75 = 407,301.75 : x
  2. Step 2: Convert to fraction form
    256,276.13/407,301.75 = 407,301.75/x
  3. Step 3: Cross multiply
    256,276.13x = 407,301.75 × 407,301.75
  4. Step 4: Simplify right side
    256,276.13x = 165,894,715,553.06
  5. Step 5: Solve for x
    x = 165,894,715,553.06/256,276.13
  6. Step 6: Final answer
    x = 647,328.02

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.