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Finding the Third Proportional to 271,514 and 595,570

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Solution

The third proportional to 271,514 and 595,570 is: 1,306,391.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,514 : 595,570 = 595,570 : x
  2. Step 2: Convert to fraction form
    271,514/595,570 = 595,570/x
  3. Step 3: Cross multiply
    271,514x = 595,570 × 595,570
  4. Step 4: Simplify right side
    271,514x = 354,703,624,900
  5. Step 5: Solve for x
    x = 354,703,624,900/271,514
  6. Step 6: Final answer
    x = 1,306,391.66

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.