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Finding the Third Proportional to 247,924 and 541,928

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Solution

The third proportional to 247,924 and 541,928 is: 1,184,580.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    247,924 : 541,928 = 541,928 : x
  2. Step 2: Convert to fraction form
    247,924/541,928 = 541,928/x
  3. Step 3: Cross multiply
    247,924x = 541,928 × 541,928
  4. Step 4: Simplify right side
    247,924x = 293,685,957,184
  5. Step 5: Solve for x
    x = 293,685,957,184/247,924
  6. Step 6: Final answer
    x = 1,184,580.59

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.