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Finding the Third Proportional to 261,632 and 567,733

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Solution

The third proportional to 261,632 and 567,733 is: 1,231,962.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,632 : 567,733 = 567,733 : x
  2. Step 2: Convert to fraction form
    261,632/567,733 = 567,733/x
  3. Step 3: Cross multiply
    261,632x = 567,733 × 567,733
  4. Step 4: Simplify right side
    261,632x = 322,320,759,289
  5. Step 5: Solve for x
    x = 322,320,759,289/261,632
  6. Step 6: Final answer
    x = 1,231,962.30

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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.