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Finding the Third Proportional to 282,290 and 605,514

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Solution

The third proportional to 282,290 and 605,514 is: 1,298,831.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,290 : 605,514 = 605,514 : x
  2. Step 2: Convert to fraction form
    282,290/605,514 = 605,514/x
  3. Step 3: Cross multiply
    282,290x = 605,514 × 605,514
  4. Step 4: Simplify right side
    282,290x = 366,647,204,196
  5. Step 5: Solve for x
    x = 366,647,204,196/282,290
  6. Step 6: Final answer
    x = 1,298,831.71

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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.