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Finding the Third Proportional to 191,772 and 417,006

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Solution

The third proportional to 191,772 and 417,006 is: 906,774.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,772 : 417,006 = 417,006 : x
  2. Step 2: Convert to fraction form
    191,772/417,006 = 417,006/x
  3. Step 3: Cross multiply
    191,772x = 417,006 × 417,006
  4. Step 4: Simplify right side
    191,772x = 173,894,004,036
  5. Step 5: Solve for x
    x = 173,894,004,036/191,772
  6. Step 6: Final answer
    x = 906,774.73

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.