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Finding the Third Proportional to 217,266 and 460,614

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Solution

The third proportional to 217,266 and 460,614 is: 976,523.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,266 : 460,614 = 460,614 : x
  2. Step 2: Convert to fraction form
    217,266/460,614 = 460,614/x
  3. Step 3: Cross multiply
    217,266x = 460,614 × 460,614
  4. Step 4: Simplify right side
    217,266x = 212,165,256,996
  5. Step 5: Solve for x
    x = 212,165,256,996/217,266
  6. Step 6: Final answer
    x = 976,523.05

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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.