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Finding the Third Proportional to 332,515.13 and 515,926.13

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Solution

The third proportional to 332,515.13 and 515,926.13 is: 800,504.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    332,515.13 : 515,926.13 = 515,926.13 : x
  2. Step 2: Convert to fraction form
    332,515.13/515,926.13 = 515,926.13/x
  3. Step 3: Cross multiply
    332,515.13x = 515,926.13 × 515,926.13
  4. Step 4: Simplify right side
    332,515.13x = 266,179,766,457.52
  5. Step 5: Solve for x
    x = 266,179,766,457.52/332,515.13
  6. Step 6: Final answer
    x = 800,504.24

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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.