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Finding the Third Proportional to 454,317.75 and 982,939.50

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Solution

The third proportional to 454,317.75 and 982,939.50 is: 2,126,639.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    454,317.75 : 982,939.50 = 982,939.50 : x
  2. Step 2: Convert to fraction form
    454,317.75/982,939.50 = 982,939.50/x
  3. Step 3: Cross multiply
    454,317.75x = 982,939.50 × 982,939.50
  4. Step 4: Simplify right side
    454,317.75x = 966,170,060,660.25
  5. Step 5: Solve for x
    x = 966,170,060,660.25/454,317.75
  6. Step 6: Final answer
    x = 2,126,639.47

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.