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Finding the Third Proportional to 208,508 and 446,540

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Solution

The third proportional to 208,508 and 446,540 is: 956,308.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,508 : 446,540 = 446,540 : x
  2. Step 2: Convert to fraction form
    208,508/446,540 = 446,540/x
  3. Step 3: Cross multiply
    208,508x = 446,540 × 446,540
  4. Step 4: Simplify right side
    208,508x = 199,397,971,600
  5. Step 5: Solve for x
    x = 199,397,971,600/208,508
  6. Step 6: Final answer
    x = 956,308.49

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.