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Finding the Third Proportional to 271,348 and 596,830

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Solution

The third proportional to 271,348 and 596,830 is: 1,312,727.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,348 : 596,830 = 596,830 : x
  2. Step 2: Convert to fraction form
    271,348/596,830 = 596,830/x
  3. Step 3: Cross multiply
    271,348x = 596,830 × 596,830
  4. Step 4: Simplify right side
    271,348x = 356,206,048,900
  5. Step 5: Solve for x
    x = 356,206,048,900/271,348
  6. Step 6: Final answer
    x = 1,312,727.75

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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.