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Finding the Third Proportional to 276,686 and 417,569

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Solution

The third proportional to 276,686 and 417,569 is: 630,186.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,686 : 417,569 = 417,569 : x
  2. Step 2: Convert to fraction form
    276,686/417,569 = 417,569/x
  3. Step 3: Cross multiply
    276,686x = 417,569 × 417,569
  4. Step 4: Simplify right side
    276,686x = 174,363,869,761
  5. Step 5: Solve for x
    x = 174,363,869,761/276,686
  6. Step 6: Final answer
    x = 630,186.82

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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.