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Finding the Third Proportional to 276,466.50 and 417,231

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Solution

The third proportional to 276,466.50 and 417,231 is: 629,666.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,466.50 : 417,231 = 417,231 : x
  2. Step 2: Convert to fraction form
    276,466.50/417,231 = 417,231/x
  3. Step 3: Cross multiply
    276,466.50x = 417,231 × 417,231
  4. Step 4: Simplify right side
    276,466.50x = 174,081,707,361
  5. Step 5: Solve for x
    x = 174,081,707,361/276,466.50
  6. Step 6: Final answer
    x = 629,666.55

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.