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Finding the Third Proportional to 652,478 and 998,214

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Solution

The third proportional to 652,478 and 998,214 is: 1,527,149.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    652,478 : 998,214 = 998,214 : x
  2. Step 2: Convert to fraction form
    652,478/998,214 = 998,214/x
  3. Step 3: Cross multiply
    652,478x = 998,214 × 998,214
  4. Step 4: Simplify right side
    652,478x = 996,431,189,796
  5. Step 5: Solve for x
    x = 996,431,189,796/652,478
  6. Step 6: Final answer
    x = 1,527,149.10

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.