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Finding the Third Proportional to 206,850 and 446,708

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Solution

The third proportional to 206,850 and 446,708 is: 964,699.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,850 : 446,708 = 446,708 : x
  2. Step 2: Convert to fraction form
    206,850/446,708 = 446,708/x
  3. Step 3: Cross multiply
    206,850x = 446,708 × 446,708
  4. Step 4: Simplify right side
    206,850x = 199,548,037,264
  5. Step 5: Solve for x
    x = 199,548,037,264/206,850
  6. Step 6: Final answer
    x = 964,699.24

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.