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Finding the Third Proportional to 349,908 and 750,766

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Solution

The third proportional to 349,908 and 750,766 is: 1,610,850.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    349,908 : 750,766 = 750,766 : x
  2. Step 2: Convert to fraction form
    349,908/750,766 = 750,766/x
  3. Step 3: Cross multiply
    349,908x = 750,766 × 750,766
  4. Step 4: Simplify right side
    349,908x = 563,649,586,756
  5. Step 5: Solve for x
    x = 563,649,586,756/349,908
  6. Step 6: Final answer
    x = 1,610,850.81

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.