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Finding the Third Proportional to 393,498 and 862,650

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Solution

The third proportional to 393,498 and 862,650 is: 1,891,153.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    393,498 : 862,650 = 862,650 : x
  2. Step 2: Convert to fraction form
    393,498/862,650 = 862,650/x
  3. Step 3: Cross multiply
    393,498x = 862,650 × 862,650
  4. Step 4: Simplify right side
    393,498x = 744,165,022,500
  5. Step 5: Solve for x
    x = 744,165,022,500/393,498
  6. Step 6: Final answer
    x = 1,891,153.25

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.