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Finding the Third Proportional to 215,474 and 458,596

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Solution

The third proportional to 215,474 and 458,596 is: 976,035.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,474 : 458,596 = 458,596 : x
  2. Step 2: Convert to fraction form
    215,474/458,596 = 458,596/x
  3. Step 3: Cross multiply
    215,474x = 458,596 × 458,596
  4. Step 4: Simplify right side
    215,474x = 210,310,291,216
  5. Step 5: Solve for x
    x = 210,310,291,216/215,474
  6. Step 6: Final answer
    x = 976,035.58

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.