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Finding the Third Proportional to 217,342 and 460,852

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Solution

The third proportional to 217,342 and 460,852 is: 977,190.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,342 : 460,852 = 460,852 : x
  2. Step 2: Convert to fraction form
    217,342/460,852 = 460,852/x
  3. Step 3: Cross multiply
    217,342x = 460,852 × 460,852
  4. Step 4: Simplify right side
    217,342x = 212,384,565,904
  5. Step 5: Solve for x
    x = 212,384,565,904/217,342
  6. Step 6: Final answer
    x = 977,190.63

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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.