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Finding the Third Proportional to 266,622 and 577,525

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Solution

The third proportional to 266,622 and 577,525 is: 1,250,966.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    266,622 : 577,525 = 577,525 : x
  2. Step 2: Convert to fraction form
    266,622/577,525 = 577,525/x
  3. Step 3: Cross multiply
    266,622x = 577,525 × 577,525
  4. Step 4: Simplify right side
    266,622x = 333,535,125,625
  5. Step 5: Solve for x
    x = 333,535,125,625/266,622
  6. Step 6: Final answer
    x = 1,250,966.26

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Why These Related Problems?

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