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Finding the Third Proportional to 330,882 and 717,748

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Solution

The third proportional to 330,882 and 717,748 is: 1,556,936.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    330,882 : 717,748 = 717,748 : x
  2. Step 2: Convert to fraction form
    330,882/717,748 = 717,748/x
  3. Step 3: Cross multiply
    330,882x = 717,748 × 717,748
  4. Step 4: Simplify right side
    330,882x = 515,162,191,504
  5. Step 5: Solve for x
    x = 515,162,191,504/330,882
  6. Step 6: Final answer
    x = 1,556,936.28

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.