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Finding the Third Proportional to 349,767.75 and 753,048.75

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Solution

The third proportional to 349,767.75 and 753,048.75 is: 1,621,311.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    349,767.75 : 753,048.75 = 753,048.75 : x
  2. Step 2: Convert to fraction form
    349,767.75/753,048.75 = 753,048.75/x
  3. Step 3: Cross multiply
    349,767.75x = 753,048.75 × 753,048.75
  4. Step 4: Simplify right side
    349,767.75x = 567,082,419,876.56
  5. Step 5: Solve for x
    x = 567,082,419,876.56/349,767.75
  6. Step 6: Final answer
    x = 1,621,311.34

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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.