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Finding the Third Proportional to 332,560.69 and 498,328.45

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Solution

The third proportional to 332,560.69 and 498,328.45 is: 746,724.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    332,560.69 : 498,328.45 = 498,328.45 : x
  2. Step 2: Convert to fraction form
    332,560.69/498,328.45 = 498,328.45/x
  3. Step 3: Cross multiply
    332,560.69x = 498,328.45 × 498,328.45
  4. Step 4: Simplify right side
    332,560.69x = 248,331,247,193.96
  5. Step 5: Solve for x
    x = 248,331,247,193.96/332,560.69
  6. Step 6: Final answer
    x = 746,724.60

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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.