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Finding the Third Proportional to 302,568 and 658,192

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Solution

The third proportional to 302,568 and 658,192 is: 1,431,799.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,568 : 658,192 = 658,192 : x
  2. Step 2: Convert to fraction form
    302,568/658,192 = 658,192/x
  3. Step 3: Cross multiply
    302,568x = 658,192 × 658,192
  4. Step 4: Simplify right side
    302,568x = 433,216,708,864
  5. Step 5: Solve for x
    x = 433,216,708,864/302,568
  6. Step 6: Final answer
    x = 1,431,799.49

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.