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Finding the Third Proportional to 193,790 and 417,262

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Solution

The third proportional to 193,790 and 417,262 is: 898,434.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,790 : 417,262 = 417,262 : x
  2. Step 2: Convert to fraction form
    193,790/417,262 = 417,262/x
  3. Step 3: Cross multiply
    193,790x = 417,262 × 417,262
  4. Step 4: Simplify right side
    193,790x = 174,107,576,644
  5. Step 5: Solve for x
    x = 174,107,576,644/193,790
  6. Step 6: Final answer
    x = 898,434.27

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.