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Finding the Third Proportional to 350,782 and 757,620

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Solution

The third proportional to 350,782 and 757,620 is: 1,636,309.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    350,782 : 757,620 = 757,620 : x
  2. Step 2: Convert to fraction form
    350,782/757,620 = 757,620/x
  3. Step 3: Cross multiply
    350,782x = 757,620 × 757,620
  4. Step 4: Simplify right side
    350,782x = 573,988,064,400
  5. Step 5: Solve for x
    x = 573,988,064,400/350,782
  6. Step 6: Final answer
    x = 1,636,309.91

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.