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Finding the Third Proportional to 366,702 and 567,320

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Solution

The third proportional to 366,702 and 567,320 is: 877,693.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    366,702 : 567,320 = 567,320 : x
  2. Step 2: Convert to fraction form
    366,702/567,320 = 567,320/x
  3. Step 3: Cross multiply
    366,702x = 567,320 × 567,320
  4. Step 4: Simplify right side
    366,702x = 321,851,982,400
  5. Step 5: Solve for x
    x = 321,851,982,400/366,702
  6. Step 6: Final answer
    x = 877,693.56

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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.