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Finding the Third Proportional to 366,950 and 767,190

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Solution

The third proportional to 366,950 and 767,190 is: 1,603,980.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    366,950 : 767,190 = 767,190 : x
  2. Step 2: Convert to fraction form
    366,950/767,190 = 767,190/x
  3. Step 3: Cross multiply
    366,950x = 767,190 × 767,190
  4. Step 4: Simplify right side
    366,950x = 588,580,496,100
  5. Step 5: Solve for x
    x = 588,580,496,100/366,950
  6. Step 6: Final answer
    x = 1,603,980.10

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.