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Finding the Third Proportional to 366,041 and 778,738

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Solution

The third proportional to 366,041 and 778,738 is: 1,656,734.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    366,041 : 778,738 = 778,738 : x
  2. Step 2: Convert to fraction form
    366,041/778,738 = 778,738/x
  3. Step 3: Cross multiply
    366,041x = 778,738 × 778,738
  4. Step 4: Simplify right side
    366,041x = 606,432,872,644
  5. Step 5: Solve for x
    x = 606,432,872,644/366,041
  6. Step 6: Final answer
    x = 1,656,734.83

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.