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Finding the Third Proportional to 193,588 and 417,794

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Solution

The third proportional to 193,588 and 417,794 is: 901,666.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,588 : 417,794 = 417,794 : x
  2. Step 2: Convert to fraction form
    193,588/417,794 = 417,794/x
  3. Step 3: Cross multiply
    193,588x = 417,794 × 417,794
  4. Step 4: Simplify right side
    193,588x = 174,551,826,436
  5. Step 5: Solve for x
    x = 174,551,826,436/193,588
  6. Step 6: Final answer
    x = 901,666.56

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.