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Finding the Third Proportional to 571,498 and 862,431

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Solution

The third proportional to 571,498 and 862,431 is: 1,301,469.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    571,498 : 862,431 = 862,431 : x
  2. Step 2: Convert to fraction form
    571,498/862,431 = 862,431/x
  3. Step 3: Cross multiply
    571,498x = 862,431 × 862,431
  4. Step 4: Simplify right side
    571,498x = 743,787,229,761
  5. Step 5: Solve for x
    x = 743,787,229,761/571,498
  6. Step 6: Final answer
    x = 1,301,469.52

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.