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Finding the Third Proportional to 215,797 and 468,287

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Solution

The third proportional to 215,797 and 468,287 is: 1,016,199.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,797 : 468,287 = 468,287 : x
  2. Step 2: Convert to fraction form
    215,797/468,287 = 468,287/x
  3. Step 3: Cross multiply
    215,797x = 468,287 × 468,287
  4. Step 4: Simplify right side
    215,797x = 219,292,714,369
  5. Step 5: Solve for x
    x = 219,292,714,369/215,797
  6. Step 6: Final answer
    x = 1,016,199.09

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.