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Finding the Third Proportional to 271,810 and 614,087

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Solution

The third proportional to 271,810 and 614,087 is: 1,387,376.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,810 : 614,087 = 614,087 : x
  2. Step 2: Convert to fraction form
    271,810/614,087 = 614,087/x
  3. Step 3: Cross multiply
    271,810x = 614,087 × 614,087
  4. Step 4: Simplify right side
    271,810x = 377,102,843,569
  5. Step 5: Solve for x
    x = 377,102,843,569/271,810
  6. Step 6: Final answer
    x = 1,387,376.64

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Why These Related Problems?

These problems maintain the same ratio (2.26) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.