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Finding the Third Proportional to 652,463 and 998,195

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Solution

The third proportional to 652,463 and 998,195 is: 1,527,126.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    652,463 : 998,195 = 998,195 : x
  2. Step 2: Convert to fraction form
    652,463/998,195 = 998,195/x
  3. Step 3: Cross multiply
    652,463x = 998,195 × 998,195
  4. Step 4: Simplify right side
    652,463x = 996,393,258,025
  5. Step 5: Solve for x
    x = 996,393,258,025/652,463
  6. Step 6: Final answer
    x = 1,527,126.07

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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.