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Finding the Third Proportional to 283,406 and 598,802

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Solution

The third proportional to 283,406 and 598,802 is: 1,265,194.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,406 : 598,802 = 598,802 : x
  2. Step 2: Convert to fraction form
    283,406/598,802 = 598,802/x
  3. Step 3: Cross multiply
    283,406x = 598,802 × 598,802
  4. Step 4: Simplify right side
    283,406x = 358,563,835,204
  5. Step 5: Solve for x
    x = 358,563,835,204/283,406
  6. Step 6: Final answer
    x = 1,265,194.93

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.