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Finding the Third Proportional to 278,176 and 417,074

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Solution

The third proportional to 278,176 and 417,074 is: 625,326.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,176 : 417,074 = 417,074 : x
  2. Step 2: Convert to fraction form
    278,176/417,074 = 417,074/x
  3. Step 3: Cross multiply
    278,176x = 417,074 × 417,074
  4. Step 4: Simplify right side
    278,176x = 173,950,721,476
  5. Step 5: Solve for x
    x = 173,950,721,476/278,176
  6. Step 6: Final answer
    x = 625,326.13

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.