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Finding the Third Proportional to 349,848 and 762,939

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Solution

The third proportional to 349,848 and 762,939 is: 1,663,796.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    349,848 : 762,939 = 762,939 : x
  2. Step 2: Convert to fraction form
    349,848/762,939 = 762,939/x
  3. Step 3: Cross multiply
    349,848x = 762,939 × 762,939
  4. Step 4: Simplify right side
    349,848x = 582,075,917,721
  5. Step 5: Solve for x
    x = 582,075,917,721/349,848
  6. Step 6: Final answer
    x = 1,663,796.61

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.