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Finding the Third Proportional to 303,279 and 462,262.50

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Solution

The third proportional to 303,279 and 462,262.50 is: 704,587.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    303,279 : 462,262.50 = 462,262.50 : x
  2. Step 2: Convert to fraction form
    303,279/462,262.50 = 462,262.50/x
  3. Step 3: Cross multiply
    303,279x = 462,262.50 × 462,262.50
  4. Step 4: Simplify right side
    303,279x = 213,686,618,906.25
  5. Step 5: Solve for x
    x = 213,686,618,906.25/303,279
  6. Step 6: Final answer
    x = 704,587.59

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.