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Finding the Third Proportional to 370,818 and 800,766

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Solution

The third proportional to 370,818 and 800,766 is: 1,729,220.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    370,818 : 800,766 = 800,766 : x
  2. Step 2: Convert to fraction form
    370,818/800,766 = 800,766/x
  3. Step 3: Cross multiply
    370,818x = 800,766 × 800,766
  4. Step 4: Simplify right side
    370,818x = 641,226,186,756
  5. Step 5: Solve for x
    x = 641,226,186,756/370,818
  6. Step 6: Final answer
    x = 1,729,220.77

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.