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Finding the Third Proportional to 261,372 and 567,000

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Solution

The third proportional to 261,372 and 567,000 is: 1,230,005.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,372 : 567,000 = 567,000 : x
  2. Step 2: Convert to fraction form
    261,372/567,000 = 567,000/x
  3. Step 3: Cross multiply
    261,372x = 567,000 × 567,000
  4. Step 4: Simplify right side
    261,372x = 321,489,000,000
  5. Step 5: Solve for x
    x = 321,489,000,000/261,372
  6. Step 6: Final answer
    x = 1,230,005.51

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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.