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Finding the Third Proportional to 399,351 and 859,596

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Solution

The third proportional to 399,351 and 859,596 is: 1,850,265.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    399,351 : 859,596 = 859,596 : x
  2. Step 2: Convert to fraction form
    399,351/859,596 = 859,596/x
  3. Step 3: Cross multiply
    399,351x = 859,596 × 859,596
  4. Step 4: Simplify right side
    399,351x = 738,905,283,216
  5. Step 5: Solve for x
    x = 738,905,283,216/399,351
  6. Step 6: Final answer
    x = 1,850,265.26

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.