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Finding the Third Proportional to 350,882 and 761,380

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Solution

The third proportional to 350,882 and 761,380 is: 1,652,120.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    350,882 : 761,380 = 761,380 : x
  2. Step 2: Convert to fraction form
    350,882/761,380 = 761,380/x
  3. Step 3: Cross multiply
    350,882x = 761,380 × 761,380
  4. Step 4: Simplify right side
    350,882x = 579,699,504,400
  5. Step 5: Solve for x
    x = 579,699,504,400/350,882
  6. Step 6: Final answer
    x = 1,652,120.95

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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.