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Finding the Third Proportional to 332,244.56 and 498,258.56

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Solution

The third proportional to 332,244.56 and 498,258.56 is: 747,225.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    332,244.56 : 498,258.56 = 498,258.56 : x
  2. Step 2: Convert to fraction form
    332,244.56/498,258.56 = 498,258.56/x
  3. Step 3: Cross multiply
    332,244.56x = 498,258.56 × 498,258.56
  4. Step 4: Simplify right side
    332,244.56x = 248,261,595,104.57
  5. Step 5: Solve for x
    x = 248,261,595,104.57/332,244.56
  6. Step 6: Final answer
    x = 747,225.46

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.