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Finding the Third Proportional to 662,974.24 and 982,031.34

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Solution

The third proportional to 662,974.24 and 982,031.34 is: 1,454,635.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    662,974.24 : 982,031.34 = 982,031.34 : x
  2. Step 2: Convert to fraction form
    662,974.24/982,031.34 = 982,031.34/x
  3. Step 3: Cross multiply
    662,974.24x = 982,031.34 × 982,031.34
  4. Step 4: Simplify right side
    662,974.24x = 964,385,560,107.43
  5. Step 5: Solve for x
    x = 964,385,560,107.43/662,974.24
  6. Step 6: Final answer
    x = 1,454,635.04

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.