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Finding the Third Proportional to 339,114 and 524,259

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Solution

The third proportional to 339,114 and 524,259 is: 810,487.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    339,114 : 524,259 = 524,259 : x
  2. Step 2: Convert to fraction form
    339,114/524,259 = 524,259/x
  3. Step 3: Cross multiply
    339,114x = 524,259 × 524,259
  4. Step 4: Simplify right side
    339,114x = 274,847,499,081
  5. Step 5: Solve for x
    x = 274,847,499,081/339,114
  6. Step 6: Final answer
    x = 810,487.03

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.