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Finding the Third Proportional to 234,939 and 515,803.50

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Solution

The third proportional to 234,939 and 515,803.50 is: 1,132,435.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,939 : 515,803.50 = 515,803.50 : x
  2. Step 2: Convert to fraction form
    234,939/515,803.50 = 515,803.50/x
  3. Step 3: Cross multiply
    234,939x = 515,803.50 × 515,803.50
  4. Step 4: Simplify right side
    234,939x = 266,053,250,612.25
  5. Step 5: Solve for x
    x = 266,053,250,612.25/234,939
  6. Step 6: Final answer
    x = 1,132,435.44

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.