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Finding the Third Proportional to 283,802 and 606,164

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Solution

The third proportional to 283,802 and 606,164 is: 1,294,687.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,802 : 606,164 = 606,164 : x
  2. Step 2: Convert to fraction form
    283,802/606,164 = 606,164/x
  3. Step 3: Cross multiply
    283,802x = 606,164 × 606,164
  4. Step 4: Simplify right side
    283,802x = 367,434,794,896
  5. Step 5: Solve for x
    x = 367,434,794,896/283,802
  6. Step 6: Final answer
    x = 1,294,687.12

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.