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Finding the Third Proportional to 618,529 and 957,723

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Solution

The third proportional to 618,529 and 957,723 is: 1,482,926.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    618,529 : 957,723 = 957,723 : x
  2. Step 2: Convert to fraction form
    618,529/957,723 = 957,723/x
  3. Step 3: Cross multiply
    618,529x = 957,723 × 957,723
  4. Step 4: Simplify right side
    618,529x = 917,233,344,729
  5. Step 5: Solve for x
    x = 917,233,344,729/618,529
  6. Step 6: Final answer
    x = 1,482,926.98

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.