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Finding the Third Proportional to 332,142.75 and 515,710.50

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Solution

The third proportional to 332,142.75 and 515,710.50 is: 800,731.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    332,142.75 : 515,710.50 = 515,710.50 : x
  2. Step 2: Convert to fraction form
    332,142.75/515,710.50 = 515,710.50/x
  3. Step 3: Cross multiply
    332,142.75x = 515,710.50 × 515,710.50
  4. Step 4: Simplify right side
    332,142.75x = 265,957,319,810.25
  5. Step 5: Solve for x
    x = 265,957,319,810.25/332,142.75
  6. Step 6: Final answer
    x = 800,731.97

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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.