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Finding the Third Proportional to 661,156.88 and 982,015.31

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Solution

The third proportional to 661,156.88 and 982,015.31 is: 1,458,585.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    661,156.88 : 982,015.31 = 982,015.31 : x
  2. Step 2: Convert to fraction form
    661,156.88/982,015.31 = 982,015.31/x
  3. Step 3: Cross multiply
    661,156.88x = 982,015.31 × 982,015.31
  4. Step 4: Simplify right side
    661,156.88x = 964,354,073,984.47
  5. Step 5: Solve for x
    x = 964,354,073,984.47/661,156.88
  6. Step 6: Final answer
    x = 1,458,585.87

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.