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Finding the Third Proportional to 191,004 and 415,992

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Solution

The third proportional to 191,004 and 415,992 is: 905,998.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,004 : 415,992 = 415,992 : x
  2. Step 2: Convert to fraction form
    191,004/415,992 = 415,992/x
  3. Step 3: Cross multiply
    191,004x = 415,992 × 415,992
  4. Step 4: Simplify right side
    191,004x = 173,049,344,064
  5. Step 5: Solve for x
    x = 173,049,344,064/191,004
  6. Step 6: Final answer
    x = 905,998.53

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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.