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Finding the Third Proportional to 245,928 and 580,314

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Solution

The third proportional to 245,928 and 580,314 is: 1,369,361.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    245,928 : 580,314 = 580,314 : x
  2. Step 2: Convert to fraction form
    245,928/580,314 = 580,314/x
  3. Step 3: Cross multiply
    245,928x = 580,314 × 580,314
  4. Step 4: Simplify right side
    245,928x = 336,764,338,596
  5. Step 5: Solve for x
    x = 336,764,338,596/245,928
  6. Step 6: Final answer
    x = 1,369,361.51

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.