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Finding the Third Proportional to 217,344 and 460,851

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Solution

The third proportional to 217,344 and 460,851 is: 977,177.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,344 : 460,851 = 460,851 : x
  2. Step 2: Convert to fraction form
    217,344/460,851 = 460,851/x
  3. Step 3: Cross multiply
    217,344x = 460,851 × 460,851
  4. Step 4: Simplify right side
    217,344x = 212,383,644,201
  5. Step 5: Solve for x
    x = 212,383,644,201/217,344
  6. Step 6: Final answer
    x = 977,177.40

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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.