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Finding the Third Proportional to 203,332 and 446,562

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Solution

The third proportional to 203,332 and 446,562 is: 980,748.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,332 : 446,562 = 446,562 : x
  2. Step 2: Convert to fraction form
    203,332/446,562 = 446,562/x
  3. Step 3: Cross multiply
    203,332x = 446,562 × 446,562
  4. Step 4: Simplify right side
    203,332x = 199,417,619,844
  5. Step 5: Solve for x
    x = 199,417,619,844/203,332
  6. Step 6: Final answer
    x = 980,748.82

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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.