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Finding the Third Proportional to 187,904 and 438,524

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Solution

The third proportional to 187,904 and 438,524 is: 1,023,412.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,904 : 438,524 = 438,524 : x
  2. Step 2: Convert to fraction form
    187,904/438,524 = 438,524/x
  3. Step 3: Cross multiply
    187,904x = 438,524 × 438,524
  4. Step 4: Simplify right side
    187,904x = 192,303,298,576
  5. Step 5: Solve for x
    x = 192,303,298,576/187,904
  6. Step 6: Final answer
    x = 1,023,412.48

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Why These Related Problems?

These problems maintain the same ratio (2.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.