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Finding the Third Proportional to 206,890 and 483,492

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Solution

The third proportional to 206,890 and 483,492 is: 1,129,897.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,890 : 483,492 = 483,492 : x
  2. Step 2: Convert to fraction form
    206,890/483,492 = 483,492/x
  3. Step 3: Cross multiply
    206,890x = 483,492 × 483,492
  4. Step 4: Simplify right side
    206,890x = 233,764,514,064
  5. Step 5: Solve for x
    x = 233,764,514,064/206,890
  6. Step 6: Final answer
    x = 1,129,897.60

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.