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Finding the Third Proportional to 349,656.75 and 539,930.25

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Solution

The third proportional to 349,656.75 and 539,930.25 is: 833,745.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    349,656.75 : 539,930.25 = 539,930.25 : x
  2. Step 2: Convert to fraction form
    349,656.75/539,930.25 = 539,930.25/x
  3. Step 3: Cross multiply
    349,656.75x = 539,930.25 × 539,930.25
  4. Step 4: Simplify right side
    349,656.75x = 291,524,674,865.06
  5. Step 5: Solve for x
    x = 291,524,674,865.06/349,656.75
  6. Step 6: Final answer
    x = 833,745.31

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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.