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Finding the Third Proportional to 276,596 and 417,437

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Solution

The third proportional to 276,596 and 417,437 is: 629,993.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,596 : 417,437 = 417,437 : x
  2. Step 2: Convert to fraction form
    276,596/417,437 = 417,437/x
  3. Step 3: Cross multiply
    276,596x = 417,437 × 417,437
  4. Step 4: Simplify right side
    276,596x = 174,253,648,969
  5. Step 5: Solve for x
    x = 174,253,648,969/276,596
  6. Step 6: Final answer
    x = 629,993.38

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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.