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Finding the Third Proportional to 217,051 and 450,733

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Solution

The third proportional to 217,051 and 450,733 is: 936,002.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,051 : 450,733 = 450,733 : x
  2. Step 2: Convert to fraction form
    217,051/450,733 = 450,733/x
  3. Step 3: Cross multiply
    217,051x = 450,733 × 450,733
  4. Step 4: Simplify right side
    217,051x = 203,160,237,289
  5. Step 5: Solve for x
    x = 203,160,237,289/217,051
  6. Step 6: Final answer
    x = 936,002.31

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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.