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Finding the Third Proportional to 266,041.13 and 413,078.06

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Solution

The third proportional to 266,041.13 and 413,078.06 is: 641,380.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    266,041.13 : 413,078.06 = 413,078.06 : x
  2. Step 2: Convert to fraction form
    266,041.13/413,078.06 = 413,078.06/x
  3. Step 3: Cross multiply
    266,041.13x = 413,078.06 × 413,078.06
  4. Step 4: Simplify right side
    266,041.13x = 170,633,485,718.75
  5. Step 5: Solve for x
    x = 170,633,485,718.75/266,041.13
  6. Step 6: Final answer
    x = 641,380.11

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.