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Finding the Third Proportional to 213,662 and 461,587

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Solution

The third proportional to 213,662 and 461,587 is: 997,194.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,662 : 461,587 = 461,587 : x
  2. Step 2: Convert to fraction form
    213,662/461,587 = 461,587/x
  3. Step 3: Cross multiply
    213,662x = 461,587 × 461,587
  4. Step 4: Simplify right side
    213,662x = 213,062,558,569
  5. Step 5: Solve for x
    x = 213,062,558,569/213,662
  6. Step 6: Final answer
    x = 997,194.44

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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.