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Finding the Third Proportional to 240,377 and 373,676

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Solution

The third proportional to 240,377 and 373,676 is: 580,894.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    240,377 : 373,676 = 373,676 : x
  2. Step 2: Convert to fraction form
    240,377/373,676 = 373,676/x
  3. Step 3: Cross multiply
    240,377x = 373,676 × 373,676
  4. Step 4: Simplify right side
    240,377x = 139,633,752,976
  5. Step 5: Solve for x
    x = 139,633,752,976/240,377
  6. Step 6: Final answer
    x = 580,894.82

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.