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Finding the Third Proportional to 503,600 and 981,498

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Solution

The third proportional to 503,600 and 981,498 is: 1,912,903.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    503,600 : 981,498 = 981,498 : x
  2. Step 2: Convert to fraction form
    503,600/981,498 = 981,498/x
  3. Step 3: Cross multiply
    503,600x = 981,498 × 981,498
  4. Step 4: Simplify right side
    503,600x = 963,338,324,004
  5. Step 5: Solve for x
    x = 963,338,324,004/503,600
  6. Step 6: Final answer
    x = 1,912,903.74

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.