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Finding the Third Proportional to 332,241 and 498,256.50

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Solution

The third proportional to 332,241 and 498,256.50 is: 747,227.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    332,241 : 498,256.50 = 498,256.50 : x
  2. Step 2: Convert to fraction form
    332,241/498,256.50 = 498,256.50/x
  3. Step 3: Cross multiply
    332,241x = 498,256.50 × 498,256.50
  4. Step 4: Simplify right side
    332,241x = 248,259,539,792.25
  5. Step 5: Solve for x
    x = 248,259,539,792.25/332,241
  6. Step 6: Final answer
    x = 747,227.28

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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.