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Finding the Third Proportional to 282,531 and 611,718

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Solution

The third proportional to 282,531 and 611,718 is: 1,324,452.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,531 : 611,718 = 611,718 : x
  2. Step 2: Convert to fraction form
    282,531/611,718 = 611,718/x
  3. Step 3: Cross multiply
    282,531x = 611,718 × 611,718
  4. Step 4: Simplify right side
    282,531x = 374,198,911,524
  5. Step 5: Solve for x
    x = 374,198,911,524/282,531
  6. Step 6: Final answer
    x = 1,324,452.58

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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.