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Finding the Third Proportional to 652,481 and 998,220

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Solution

The third proportional to 652,481 and 998,220 is: 1,527,160.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    652,481 : 998,220 = 998,220 : x
  2. Step 2: Convert to fraction form
    652,481/998,220 = 998,220/x
  3. Step 3: Cross multiply
    652,481x = 998,220 × 998,220
  4. Step 4: Simplify right side
    652,481x = 996,443,168,400
  5. Step 5: Solve for x
    x = 996,443,168,400/652,481
  6. Step 6: Final answer
    x = 1,527,160.44

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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.