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Finding the Third Proportional to 203,334 and 446,566

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Solution

The third proportional to 203,334 and 446,566 is: 980,756.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,334 : 446,566 = 446,566 : x
  2. Step 2: Convert to fraction form
    203,334/446,566 = 446,566/x
  3. Step 3: Cross multiply
    203,334x = 446,566 × 446,566
  4. Step 4: Simplify right side
    203,334x = 199,421,192,356
  5. Step 5: Solve for x
    x = 199,421,192,356/203,334
  6. Step 6: Final answer
    x = 980,756.75

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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.