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Finding the Third Proportional to 658,150.31 and 982,919.81

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Solution

The third proportional to 658,150.31 and 982,919.81 is: 1,467,949.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    658,150.31 : 982,919.81 = 982,919.81 : x
  2. Step 2: Convert to fraction form
    658,150.31/982,919.81 = 982,919.81/x
  3. Step 3: Cross multiply
    658,150.31x = 982,919.81 × 982,919.81
  4. Step 4: Simplify right side
    658,150.31x = 966,131,357,805.04
  5. Step 5: Solve for x
    x = 966,131,357,805.04/658,150.31
  6. Step 6: Final answer
    x = 1,467,949.40

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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.