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Finding the Third Proportional to 282,259 and 608,834

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Solution

The third proportional to 282,259 and 608,834 is: 1,313,257.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,259 : 608,834 = 608,834 : x
  2. Step 2: Convert to fraction form
    282,259/608,834 = 608,834/x
  3. Step 3: Cross multiply
    282,259x = 608,834 × 608,834
  4. Step 4: Simplify right side
    282,259x = 370,678,839,556
  5. Step 5: Solve for x
    x = 370,678,839,556/282,259
  6. Step 6: Final answer
    x = 1,313,257.82

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.