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Finding the Third Proportional to 339,544 and 524,088

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Solution

The third proportional to 339,544 and 524,088 is: 808,932.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    339,544 : 524,088 = 524,088 : x
  2. Step 2: Convert to fraction form
    339,544/524,088 = 524,088/x
  3. Step 3: Cross multiply
    339,544x = 524,088 × 524,088
  4. Step 4: Simplify right side
    339,544x = 274,668,231,744
  5. Step 5: Solve for x
    x = 274,668,231,744/339,544
  6. Step 6: Final answer
    x = 808,932.66

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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.