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Finding the Third Proportional to 187,774 and 417,530

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Solution

The third proportional to 187,774 and 417,530 is: 928,410.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,774 : 417,530 = 417,530 : x
  2. Step 2: Convert to fraction form
    187,774/417,530 = 417,530/x
  3. Step 3: Cross multiply
    187,774x = 417,530 × 417,530
  4. Step 4: Simplify right side
    187,774x = 174,331,300,900
  5. Step 5: Solve for x
    x = 174,331,300,900/187,774
  6. Step 6: Final answer
    x = 928,410.22

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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.