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Finding the Third Proportional to 273,006 and 413,329

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Solution

The third proportional to 273,006 and 413,329 is: 625,776.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,006 : 413,329 = 413,329 : x
  2. Step 2: Convert to fraction form
    273,006/413,329 = 413,329/x
  3. Step 3: Cross multiply
    273,006x = 413,329 × 413,329
  4. Step 4: Simplify right side
    273,006x = 170,840,862,241
  5. Step 5: Solve for x
    x = 170,840,862,241/273,006
  6. Step 6: Final answer
    x = 625,776.95

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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.