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Finding the Third Proportional to 408,514 and 865,604

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Solution

The third proportional to 408,514 and 865,604 is: 1,834,136.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,514 : 865,604 = 865,604 : x
  2. Step 2: Convert to fraction form
    408,514/865,604 = 865,604/x
  3. Step 3: Cross multiply
    408,514x = 865,604 × 865,604
  4. Step 4: Simplify right side
    408,514x = 749,270,284,816
  5. Step 5: Solve for x
    x = 749,270,284,816/408,514
  6. Step 6: Final answer
    x = 1,834,136.12

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.