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Finding the Third Proportional to 266,202 and 577,319

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Solution

The third proportional to 266,202 and 577,319 is: 1,252,046.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    266,202 : 577,319 = 577,319 : x
  2. Step 2: Convert to fraction form
    266,202/577,319 = 577,319/x
  3. Step 3: Cross multiply
    266,202x = 577,319 × 577,319
  4. Step 4: Simplify right side
    266,202x = 333,297,227,761
  5. Step 5: Solve for x
    x = 333,297,227,761/266,202
  6. Step 6: Final answer
    x = 1,252,046.29

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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.