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Finding the Third Proportional to 217,810 and 462,056

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Solution

The third proportional to 217,810 and 462,056 is: 980,192.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,810 : 462,056 = 462,056 : x
  2. Step 2: Convert to fraction form
    217,810/462,056 = 462,056/x
  3. Step 3: Cross multiply
    217,810x = 462,056 × 462,056
  4. Step 4: Simplify right side
    217,810x = 213,495,747,136
  5. Step 5: Solve for x
    x = 213,495,747,136/217,810
  6. Step 6: Final answer
    x = 980,192.59

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.