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Finding the Third Proportional to 217,426 and 466,992

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Solution

The third proportional to 217,426 and 466,992 is: 1,003,014.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,426 : 466,992 = 466,992 : x
  2. Step 2: Convert to fraction form
    217,426/466,992 = 466,992/x
  3. Step 3: Cross multiply
    217,426x = 466,992 × 466,992
  4. Step 4: Simplify right side
    217,426x = 218,081,528,064
  5. Step 5: Solve for x
    x = 218,081,528,064/217,426
  6. Step 6: Final answer
    x = 1,003,014.95

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.