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Finding the Third Proportional to 357,622 and 767,166

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Solution

The third proportional to 357,622 and 767,166 is: 1,645,714.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,622 : 767,166 = 767,166 : x
  2. Step 2: Convert to fraction form
    357,622/767,166 = 767,166/x
  3. Step 3: Cross multiply
    357,622x = 767,166 × 767,166
  4. Step 4: Simplify right side
    357,622x = 588,543,671,556
  5. Step 5: Solve for x
    x = 588,543,671,556/357,622
  6. Step 6: Final answer
    x = 1,645,714.39

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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.