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Finding the Third Proportional to 332,406.50 and 498,486

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Solution

The third proportional to 332,406.50 and 498,486 is: 747,543.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    332,406.50 : 498,486 = 498,486 : x
  2. Step 2: Convert to fraction form
    332,406.50/498,486 = 498,486/x
  3. Step 3: Cross multiply
    332,406.50x = 498,486 × 498,486
  4. Step 4: Simplify right side
    332,406.50x = 248,488,292,196
  5. Step 5: Solve for x
    x = 248,488,292,196/332,406.50
  6. Step 6: Final answer
    x = 747,543.42

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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.