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Finding the Third Proportional to 217,036 and 450,703

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Solution

The third proportional to 217,036 and 450,703 is: 935,942.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,036 : 450,703 = 450,703 : x
  2. Step 2: Convert to fraction form
    217,036/450,703 = 450,703/x
  3. Step 3: Cross multiply
    217,036x = 450,703 × 450,703
  4. Step 4: Simplify right side
    217,036x = 203,133,194,209
  5. Step 5: Solve for x
    x = 203,133,194,209/217,036
  6. Step 6: Final answer
    x = 935,942.40

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.