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Finding the Third Proportional to 201,676 and 442,718

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Solution

The third proportional to 201,676 and 442,718 is: 971,852.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,676 : 442,718 = 442,718 : x
  2. Step 2: Convert to fraction form
    201,676/442,718 = 442,718/x
  3. Step 3: Cross multiply
    201,676x = 442,718 × 442,718
  4. Step 4: Simplify right side
    201,676x = 195,999,227,524
  5. Step 5: Solve for x
    x = 195,999,227,524/201,676
  6. Step 6: Final answer
    x = 971,852.02

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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.