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Finding the Third Proportional to 332,513.25 and 515,923.13

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Solution

The third proportional to 332,513.25 and 515,923.13 is: 800,499.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    332,513.25 : 515,923.13 = 515,923.13 : x
  2. Step 2: Convert to fraction form
    332,513.25/515,923.13 = 515,923.13/x
  3. Step 3: Cross multiply
    332,513.25x = 515,923.13 × 515,923.13
  4. Step 4: Simplify right side
    332,513.25x = 266,176,670,909.77
  5. Step 5: Solve for x
    x = 266,176,670,909.77/332,513.25
  6. Step 6: Final answer
    x = 800,499.44

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.