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Finding the Third Proportional to 299,597 and 636,130

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Solution

The third proportional to 299,597 and 636,130 is: 1,350,685.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,597 : 636,130 = 636,130 : x
  2. Step 2: Convert to fraction form
    299,597/636,130 = 636,130/x
  3. Step 3: Cross multiply
    299,597x = 636,130 × 636,130
  4. Step 4: Simplify right side
    299,597x = 404,661,376,900
  5. Step 5: Solve for x
    x = 404,661,376,900/299,597
  6. Step 6: Final answer
    x = 1,350,685.68

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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.