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Finding the Third Proportional to 368,874 and 567,792

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Solution

The third proportional to 368,874 and 567,792 is: 873,977.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    368,874 : 567,792 = 567,792 : x
  2. Step 2: Convert to fraction form
    368,874/567,792 = 567,792/x
  3. Step 3: Cross multiply
    368,874x = 567,792 × 567,792
  4. Step 4: Simplify right side
    368,874x = 322,387,755,264
  5. Step 5: Solve for x
    x = 322,387,755,264/368,874
  6. Step 6: Final answer
    x = 873,977.99

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.