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Finding the Third Proportional to 350,558 and 767,456

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Solution

The third proportional to 350,558 and 767,456 is: 1,680,146.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    350,558 : 767,456 = 767,456 : x
  2. Step 2: Convert to fraction form
    350,558/767,456 = 767,456/x
  3. Step 3: Cross multiply
    350,558x = 767,456 × 767,456
  4. Step 4: Simplify right side
    350,558x = 588,988,711,936
  5. Step 5: Solve for x
    x = 588,988,711,936/350,558
  6. Step 6: Final answer
    x = 1,680,146.26

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.