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Finding the Third Proportional to 240,050 and 386,676

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Solution

The third proportional to 240,050 and 386,676 is: 622,863.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    240,050 : 386,676 = 386,676 : x
  2. Step 2: Convert to fraction form
    240,050/386,676 = 386,676/x
  3. Step 3: Cross multiply
    240,050x = 386,676 × 386,676
  4. Step 4: Simplify right side
    240,050x = 149,518,328,976
  5. Step 5: Solve for x
    x = 149,518,328,976/240,050
  6. Step 6: Final answer
    x = 622,863.27

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.