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Finding the Third Proportional to 561,438 and 862,982

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Solution

The third proportional to 561,438 and 862,982 is: 1,326,482.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    561,438 : 862,982 = 862,982 : x
  2. Step 2: Convert to fraction form
    561,438/862,982 = 862,982/x
  3. Step 3: Cross multiply
    561,438x = 862,982 × 862,982
  4. Step 4: Simplify right side
    561,438x = 744,737,932,324
  5. Step 5: Solve for x
    x = 744,737,932,324/561,438
  6. Step 6: Final answer
    x = 1,326,482.95

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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.