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Finding the Third Proportional to 203,211 and 442,617

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Solution

The third proportional to 203,211 and 442,617 is: 964,070.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,211 : 442,617 = 442,617 : x
  2. Step 2: Convert to fraction form
    203,211/442,617 = 442,617/x
  3. Step 3: Cross multiply
    203,211x = 442,617 × 442,617
  4. Step 4: Simplify right side
    203,211x = 195,909,808,689
  5. Step 5: Solve for x
    x = 195,909,808,689/203,211
  6. Step 6: Final answer
    x = 964,070.89

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.