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Finding the Third Proportional to 366,934 and 788,122

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Solution

The third proportional to 366,934 and 788,122 is: 1,692,773.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    366,934 : 788,122 = 788,122 : x
  2. Step 2: Convert to fraction form
    366,934/788,122 = 788,122/x
  3. Step 3: Cross multiply
    366,934x = 788,122 × 788,122
  4. Step 4: Simplify right side
    366,934x = 621,136,286,884
  5. Step 5: Solve for x
    x = 621,136,286,884/366,934
  6. Step 6: Final answer
    x = 1,692,773.87

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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.