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Finding the Third Proportional to 282,400 and 608,192

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Solution

The third proportional to 282,400 and 608,192 is: 1,309,835.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,400 : 608,192 = 608,192 : x
  2. Step 2: Convert to fraction form
    282,400/608,192 = 608,192/x
  3. Step 3: Cross multiply
    282,400x = 608,192 × 608,192
  4. Step 4: Simplify right side
    282,400x = 369,897,508,864
  5. Step 5: Solve for x
    x = 369,897,508,864/282,400
  6. Step 6: Final answer
    x = 1,309,835.37

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.