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Finding the Third Proportional to 332,410.50 and 498,492

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Solution

The third proportional to 332,410.50 and 498,492 is: 747,552.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    332,410.50 : 498,492 = 498,492 : x
  2. Step 2: Convert to fraction form
    332,410.50/498,492 = 498,492/x
  3. Step 3: Cross multiply
    332,410.50x = 498,492 × 498,492
  4. Step 4: Simplify right side
    332,410.50x = 248,494,274,064
  5. Step 5: Solve for x
    x = 248,494,274,064/332,410.50
  6. Step 6: Final answer
    x = 747,552.42

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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.