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Finding the Third Proportional to 278,312 and 595,977

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Solution

The third proportional to 278,312 and 595,977 is: 1,276,224.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,312 : 595,977 = 595,977 : x
  2. Step 2: Convert to fraction form
    278,312/595,977 = 595,977/x
  3. Step 3: Cross multiply
    278,312x = 595,977 × 595,977
  4. Step 4: Simplify right side
    278,312x = 355,188,584,529
  5. Step 5: Solve for x
    x = 355,188,584,529/278,312
  6. Step 6: Final answer
    x = 1,276,224.47

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.