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Finding the Third Proportional to 266,023.13 and 577,257.75

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Solution

The third proportional to 266,023.13 and 577,257.75 is: 1,252,622.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    266,023.13 : 577,257.75 = 577,257.75 : x
  2. Step 2: Convert to fraction form
    266,023.13/577,257.75 = 577,257.75/x
  3. Step 3: Cross multiply
    266,023.13x = 577,257.75 × 577,257.75
  4. Step 4: Simplify right side
    266,023.13x = 333,226,509,935.06
  5. Step 5: Solve for x
    x = 333,226,509,935.06/266,023.13
  6. Step 6: Final answer
    x = 1,252,622.34

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.