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Finding the Third Proportional to 239,184 and 520,410

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Solution

The third proportional to 239,184 and 520,410 is: 1,132,293.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    239,184 : 520,410 = 520,410 : x
  2. Step 2: Convert to fraction form
    239,184/520,410 = 520,410/x
  3. Step 3: Cross multiply
    239,184x = 520,410 × 520,410
  4. Step 4: Simplify right side
    239,184x = 270,826,568,100
  5. Step 5: Solve for x
    x = 270,826,568,100/239,184
  6. Step 6: Final answer
    x = 1,132,293.83

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.