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Finding the Third Proportional to 357,620 and 767,162

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Solution

The third proportional to 357,620 and 767,162 is: 1,645,706.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,620 : 767,162 = 767,162 : x
  2. Step 2: Convert to fraction form
    357,620/767,162 = 767,162/x
  3. Step 3: Cross multiply
    357,620x = 767,162 × 767,162
  4. Step 4: Simplify right side
    357,620x = 588,537,534,244
  5. Step 5: Solve for x
    x = 588,537,534,244/357,620
  6. Step 6: Final answer
    x = 1,645,706.43

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.