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Finding the Third Proportional to 266,524 and 577,336

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Solution

The third proportional to 266,524 and 577,336 is: 1,250,607.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    266,524 : 577,336 = 577,336 : x
  2. Step 2: Convert to fraction form
    266,524/577,336 = 577,336/x
  3. Step 3: Cross multiply
    266,524x = 577,336 × 577,336
  4. Step 4: Simplify right side
    266,524x = 333,316,856,896
  5. Step 5: Solve for x
    x = 333,316,856,896/266,524
  6. Step 6: Final answer
    x = 1,250,607.29

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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.