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Finding the Third Proportional to 663,069 and 998,478

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Solution

The third proportional to 663,069 and 998,478 is: 1,503,551.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    663,069 : 998,478 = 998,478 : x
  2. Step 2: Convert to fraction form
    663,069/998,478 = 998,478/x
  3. Step 3: Cross multiply
    663,069x = 998,478 × 998,478
  4. Step 4: Simplify right side
    663,069x = 996,958,316,484
  5. Step 5: Solve for x
    x = 996,958,316,484/663,069
  6. Step 6: Final answer
    x = 1,503,551.39

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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.