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Finding the Third Proportional to 187,774 and 417,529

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Solution

The third proportional to 187,774 and 417,529 is: 928,405.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,774 : 417,529 = 417,529 : x
  2. Step 2: Convert to fraction form
    187,774/417,529 = 417,529/x
  3. Step 3: Cross multiply
    187,774x = 417,529 × 417,529
  4. Step 4: Simplify right side
    187,774x = 174,330,465,841
  5. Step 5: Solve for x
    x = 174,330,465,841/187,774
  6. Step 6: Final answer
    x = 928,405.77

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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.