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Finding the Third Proportional to 283,059 and 412,920

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Solution

The third proportional to 283,059 and 412,920 is: 602,358.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,059 : 412,920 = 412,920 : x
  2. Step 2: Convert to fraction form
    283,059/412,920 = 412,920/x
  3. Step 3: Cross multiply
    283,059x = 412,920 × 412,920
  4. Step 4: Simplify right side
    283,059x = 170,502,926,400
  5. Step 5: Solve for x
    x = 170,502,926,400/283,059
  6. Step 6: Final answer
    x = 602,358.26

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.