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Finding the Third Proportional to 282,744 and 598,212

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Solution

The third proportional to 282,744 and 598,212 is: 1,265,659.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,744 : 598,212 = 598,212 : x
  2. Step 2: Convert to fraction form
    282,744/598,212 = 598,212/x
  3. Step 3: Cross multiply
    282,744x = 598,212 × 598,212
  4. Step 4: Simplify right side
    282,744x = 357,857,596,944
  5. Step 5: Solve for x
    x = 357,857,596,944/282,744
  6. Step 6: Final answer
    x = 1,265,659.38

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.