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Finding the Third Proportional to 461,332.50 and 998,481

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Solution

The third proportional to 461,332.50 and 998,481 is: 2,161,053.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    461,332.50 : 998,481 = 998,481 : x
  2. Step 2: Convert to fraction form
    461,332.50/998,481 = 998,481/x
  3. Step 3: Cross multiply
    461,332.50x = 998,481 × 998,481
  4. Step 4: Simplify right side
    461,332.50x = 996,964,307,361
  5. Step 5: Solve for x
    x = 996,964,307,361/461,332.50
  6. Step 6: Final answer
    x = 2,161,053.70

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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.