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Finding the Third Proportional to 332,035 and 498,297

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Solution

The third proportional to 332,035 and 498,297 is: 747,812.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    332,035 : 498,297 = 498,297 : x
  2. Step 2: Convert to fraction form
    332,035/498,297 = 498,297/x
  3. Step 3: Cross multiply
    332,035x = 498,297 × 498,297
  4. Step 4: Simplify right side
    332,035x = 248,299,900,209
  5. Step 5: Solve for x
    x = 248,299,900,209/332,035
  6. Step 6: Final answer
    x = 747,812.43

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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.