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Finding the Third Proportional to 266,607 and 577,498.50

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Solution

The third proportional to 266,607 and 577,498.50 is: 1,250,921.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    266,607 : 577,498.50 = 577,498.50 : x
  2. Step 2: Convert to fraction form
    266,607/577,498.50 = 577,498.50/x
  3. Step 3: Cross multiply
    266,607x = 577,498.50 × 577,498.50
  4. Step 4: Simplify right side
    266,607x = 333,504,517,502.25
  5. Step 5: Solve for x
    x = 333,504,517,502.25/266,607
  6. Step 6: Final answer
    x = 1,250,921.83

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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.