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Finding the Third Proportional to 273,034 and 413,368

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Solution

The third proportional to 273,034 and 413,368 is: 625,830.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,034 : 413,368 = 413,368 : x
  2. Step 2: Convert to fraction form
    273,034/413,368 = 413,368/x
  3. Step 3: Cross multiply
    273,034x = 413,368 × 413,368
  4. Step 4: Simplify right side
    273,034x = 170,873,103,424
  5. Step 5: Solve for x
    x = 170,873,103,424/273,034
  6. Step 6: Final answer
    x = 625,830.86

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.