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Finding the Third Proportional to 366,982 and 567,076

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Solution

The third proportional to 366,982 and 567,076 is: 876,269.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    366,982 : 567,076 = 567,076 : x
  2. Step 2: Convert to fraction form
    366,982/567,076 = 567,076/x
  3. Step 3: Cross multiply
    366,982x = 567,076 × 567,076
  4. Step 4: Simplify right side
    366,982x = 321,575,189,776
  5. Step 5: Solve for x
    x = 321,575,189,776/366,982
  6. Step 6: Final answer
    x = 876,269.65

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.