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Finding the Third Proportional to 273,032 and 413,364

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Solution

The third proportional to 273,032 and 413,364 is: 625,823.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,032 : 413,364 = 413,364 : x
  2. Step 2: Convert to fraction form
    273,032/413,364 = 413,364/x
  3. Step 3: Cross multiply
    273,032x = 413,364 × 413,364
  4. Step 4: Simplify right side
    273,032x = 170,869,796,496
  5. Step 5: Solve for x
    x = 170,869,796,496/273,032
  6. Step 6: Final answer
    x = 625,823.33

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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.