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Finding the Third Proportional to 620,433 and 854,367.75

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Solution

The third proportional to 620,433 and 854,367.75 is: 1,176,507.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    620,433 : 854,367.75 = 854,367.75 : x
  2. Step 2: Convert to fraction form
    620,433/854,367.75 = 854,367.75/x
  3. Step 3: Cross multiply
    620,433x = 854,367.75 × 854,367.75
  4. Step 4: Simplify right side
    620,433x = 729,944,252,240.06
  5. Step 5: Solve for x
    x = 729,944,252,240.06/620,433
  6. Step 6: Final answer
    x = 1,176,507.78

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.