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Finding the Third Proportional to 461,352 and 998,498

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Solution

The third proportional to 461,352 and 998,498 is: 2,161,035.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    461,352 : 998,498 = 998,498 : x
  2. Step 2: Convert to fraction form
    461,352/998,498 = 998,498/x
  3. Step 3: Cross multiply
    461,352x = 998,498 × 998,498
  4. Step 4: Simplify right side
    461,352x = 996,998,256,004
  5. Step 5: Solve for x
    x = 996,998,256,004/461,352
  6. Step 6: Final answer
    x = 2,161,035.95

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.