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Finding the Third Proportional to 214,078.78 and 466,298.44

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Solution

The third proportional to 214,078.78 and 466,298.44 is: 1,015,673.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,078.78 : 466,298.44 = 466,298.44 : x
  2. Step 2: Convert to fraction form
    214,078.78/466,298.44 = 466,298.44/x
  3. Step 3: Cross multiply
    214,078.78x = 466,298.44 × 466,298.44
  4. Step 4: Simplify right side
    214,078.78x = 217,434,232,814.94
  5. Step 5: Solve for x
    x = 217,434,232,814.94/214,078.78
  6. Step 6: Final answer
    x = 1,015,673.91

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.