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Finding the Third Proportional to 206,838 and 455,580

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Solution

The third proportional to 206,838 and 455,580 is: 1,003,457.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,838 : 455,580 = 455,580 : x
  2. Step 2: Convert to fraction form
    206,838/455,580 = 455,580/x
  3. Step 3: Cross multiply
    206,838x = 455,580 × 455,580
  4. Step 4: Simplify right side
    206,838x = 207,553,136,400
  5. Step 5: Solve for x
    x = 207,553,136,400/206,838
  6. Step 6: Final answer
    x = 1,003,457.47

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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.