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Finding the Third Proportional to 217,967 and 461,862

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Solution

The third proportional to 217,967 and 461,862 is: 978,664.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,967 : 461,862 = 461,862 : x
  2. Step 2: Convert to fraction form
    217,967/461,862 = 461,862/x
  3. Step 3: Cross multiply
    217,967x = 461,862 × 461,862
  4. Step 4: Simplify right side
    217,967x = 213,316,507,044
  5. Step 5: Solve for x
    x = 213,316,507,044/217,967
  6. Step 6: Final answer
    x = 978,664.23

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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.