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Finding the Third Proportional to 217,083 and 469,266

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Solution

The third proportional to 217,083 and 469,266 is: 1,014,407.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,083 : 469,266 = 469,266 : x
  2. Step 2: Convert to fraction form
    217,083/469,266 = 469,266/x
  3. Step 3: Cross multiply
    217,083x = 469,266 × 469,266
  4. Step 4: Simplify right side
    217,083x = 220,210,578,756
  5. Step 5: Solve for x
    x = 220,210,578,756/217,083
  6. Step 6: Final answer
    x = 1,014,407.29

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.