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Finding the Third Proportional to 652,478 and 998,216

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Solution

The third proportional to 652,478 and 998,216 is: 1,527,155.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    652,478 : 998,216 = 998,216 : x
  2. Step 2: Convert to fraction form
    652,478/998,216 = 998,216/x
  3. Step 3: Cross multiply
    652,478x = 998,216 × 998,216
  4. Step 4: Simplify right side
    652,478x = 996,435,182,656
  5. Step 5: Solve for x
    x = 996,435,182,656/652,478
  6. Step 6: Final answer
    x = 1,527,155.22

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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.