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Finding the Third Proportional to 349,828 and 540,200

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Solution

The third proportional to 349,828 and 540,200 is: 834,170.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    349,828 : 540,200 = 540,200 : x
  2. Step 2: Convert to fraction form
    349,828/540,200 = 540,200/x
  3. Step 3: Cross multiply
    349,828x = 540,200 × 540,200
  4. Step 4: Simplify right side
    349,828x = 291,816,040,000
  5. Step 5: Solve for x
    x = 291,816,040,000/349,828
  6. Step 6: Final answer
    x = 834,170.05

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.