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Finding the Third Proportional to 217,411 and 466,963

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Solution

The third proportional to 217,411 and 466,963 is: 1,002,959.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,411 : 466,963 = 466,963 : x
  2. Step 2: Convert to fraction form
    217,411/466,963 = 466,963/x
  3. Step 3: Cross multiply
    217,411x = 466,963 × 466,963
  4. Step 4: Simplify right side
    217,411x = 218,054,443,369
  5. Step 5: Solve for x
    x = 218,054,443,369/217,411
  6. Step 6: Final answer
    x = 1,002,959.57

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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.