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Finding the Third Proportional to 213,660 and 461,583

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Solution

The third proportional to 213,660 and 461,583 is: 997,186.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,660 : 461,583 = 461,583 : x
  2. Step 2: Convert to fraction form
    213,660/461,583 = 461,583/x
  3. Step 3: Cross multiply
    213,660x = 461,583 × 461,583
  4. Step 4: Simplify right side
    213,660x = 213,058,865,889
  5. Step 5: Solve for x
    x = 213,058,865,889/213,660
  6. Step 6: Final answer
    x = 997,186.49

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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.