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Finding the Third Proportional to 276,869 and 407,527

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Solution

The third proportional to 276,869 and 407,527 is: 599,844.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,869 : 407,527 = 407,527 : x
  2. Step 2: Convert to fraction form
    276,869/407,527 = 407,527/x
  3. Step 3: Cross multiply
    276,869x = 407,527 × 407,527
  4. Step 4: Simplify right side
    276,869x = 166,078,255,729
  5. Step 5: Solve for x
    x = 166,078,255,729/276,869
  6. Step 6: Final answer
    x = 599,844.17

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.