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Finding the Third Proportional to 271,488 and 596,514

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Solution

The third proportional to 271,488 and 596,514 is: 1,310,661.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,488 : 596,514 = 596,514 : x
  2. Step 2: Convert to fraction form
    271,488/596,514 = 596,514/x
  3. Step 3: Cross multiply
    271,488x = 596,514 × 596,514
  4. Step 4: Simplify right side
    271,488x = 355,828,952,196
  5. Step 5: Solve for x
    x = 355,828,952,196/271,488
  6. Step 6: Final answer
    x = 1,310,661.81

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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.