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Finding the Third Proportional to 271,513 and 596,555

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Solution

The third proportional to 271,513 and 596,555 is: 1,310,721.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,513 : 596,555 = 596,555 : x
  2. Step 2: Convert to fraction form
    271,513/596,555 = 596,555/x
  3. Step 3: Cross multiply
    271,513x = 596,555 × 596,555
  4. Step 4: Simplify right side
    271,513x = 355,877,868,025
  5. Step 5: Solve for x
    x = 355,877,868,025/271,513
  6. Step 6: Final answer
    x = 1,310,721.28

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.