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Finding the Third Proportional to 332,515.50 and 515,925.56

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Solution

The third proportional to 332,515.50 and 515,925.56 is: 800,501.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    332,515.50 : 515,925.56 = 515,925.56 : x
  2. Step 2: Convert to fraction form
    332,515.50/515,925.56 = 515,925.56/x
  3. Step 3: Cross multiply
    332,515.50x = 515,925.56 × 515,925.56
  4. Step 4: Simplify right side
    332,515.50x = 266,179,186,040.94
  5. Step 5: Solve for x
    x = 266,179,186,040.94/332,515.50
  6. Step 6: Final answer
    x = 800,501.59

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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.