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Finding the Third Proportional to 266,201 and 577,317

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Solution

The third proportional to 266,201 and 577,317 is: 1,252,042.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    266,201 : 577,317 = 577,317 : x
  2. Step 2: Convert to fraction form
    266,201/577,317 = 577,317/x
  3. Step 3: Cross multiply
    266,201x = 577,317 × 577,317
  4. Step 4: Simplify right side
    266,201x = 333,294,918,489
  5. Step 5: Solve for x
    x = 333,294,918,489/266,201
  6. Step 6: Final answer
    x = 1,252,042.32

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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.