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Finding the Third Proportional to 191,004 and 404,774

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Solution

The third proportional to 191,004 and 404,774 is: 857,793.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,004 : 404,774 = 404,774 : x
  2. Step 2: Convert to fraction form
    191,004/404,774 = 404,774/x
  3. Step 3: Cross multiply
    191,004x = 404,774 × 404,774
  4. Step 4: Simplify right side
    191,004x = 163,841,991,076
  5. Step 5: Solve for x
    x = 163,841,991,076/191,004
  6. Step 6: Final answer
    x = 857,793.51

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.