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Finding the Third Proportional to 276,435 and 416,599.88

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Solution

The third proportional to 276,435 and 416,599.88 is: 627,834.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,435 : 416,599.88 = 416,599.88 : x
  2. Step 2: Convert to fraction form
    276,435/416,599.88 = 416,599.88/x
  3. Step 3: Cross multiply
    276,435x = 416,599.88 × 416,599.88
  4. Step 4: Simplify right side
    276,435x = 173,555,455,850.02
  5. Step 5: Solve for x
    x = 173,555,455,850.02/276,435
  6. Step 6: Final answer
    x = 627,834.59

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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.