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Finding the Third Proportional to 349,104 and 751,650

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Solution

The third proportional to 349,104 and 751,650 is: 1,618,365.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    349,104 : 751,650 = 751,650 : x
  2. Step 2: Convert to fraction form
    349,104/751,650 = 751,650/x
  3. Step 3: Cross multiply
    349,104x = 751,650 × 751,650
  4. Step 4: Simplify right side
    349,104x = 564,977,722,500
  5. Step 5: Solve for x
    x = 564,977,722,500/349,104
  6. Step 6: Final answer
    x = 1,618,365.08

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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.