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Finding the Third Proportional to 675,031.50 and 985,891.50

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Solution

The third proportional to 675,031.50 and 985,891.50 is: 1,439,906.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    675,031.50 : 985,891.50 = 985,891.50 : x
  2. Step 2: Convert to fraction form
    675,031.50/985,891.50 = 985,891.50/x
  3. Step 3: Cross multiply
    675,031.50x = 985,891.50 × 985,891.50
  4. Step 4: Simplify right side
    675,031.50x = 971,982,049,772.25
  5. Step 5: Solve for x
    x = 971,982,049,772.25/675,031.50
  6. Step 6: Final answer
    x = 1,439,906.21

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.