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Finding the Third Proportional to 187,826 and 417,645

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Solution

The third proportional to 187,826 and 417,645 is: 928,664.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,826 : 417,645 = 417,645 : x
  2. Step 2: Convert to fraction form
    187,826/417,645 = 417,645/x
  3. Step 3: Cross multiply
    187,826x = 417,645 × 417,645
  4. Step 4: Simplify right side
    187,826x = 174,427,346,025
  5. Step 5: Solve for x
    x = 174,427,346,025/187,826
  6. Step 6: Final answer
    x = 928,664.54

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.