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Finding the Third Proportional to 350,778 and 757,605

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Solution

The third proportional to 350,778 and 757,605 is: 1,636,263.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    350,778 : 757,605 = 757,605 : x
  2. Step 2: Convert to fraction form
    350,778/757,605 = 757,605/x
  3. Step 3: Cross multiply
    350,778x = 757,605 × 757,605
  4. Step 4: Simplify right side
    350,778x = 573,965,336,025
  5. Step 5: Solve for x
    x = 573,965,336,025/350,778
  6. Step 6: Final answer
    x = 1,636,263.78

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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.