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Finding the Third Proportional to 289,984.50 and 636,706.13

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Solution

The third proportional to 289,984.50 and 636,706.13 is: 1,397,987.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,984.50 : 636,706.13 = 636,706.13 : x
  2. Step 2: Convert to fraction form
    289,984.50/636,706.13 = 636,706.13/x
  3. Step 3: Cross multiply
    289,984.50x = 636,706.13 × 636,706.13
  4. Step 4: Simplify right side
    289,984.50x = 405,394,689,612.52
  5. Step 5: Solve for x
    x = 405,394,689,612.52/289,984.50
  6. Step 6: Final answer
    x = 1,397,987.44

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.