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Finding the Third Proportional to 628,716 and 997,182.75

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Solution

The third proportional to 628,716 and 997,182.75 is: 1,581,593.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    628,716 : 997,182.75 = 997,182.75 : x
  2. Step 2: Convert to fraction form
    628,716/997,182.75 = 997,182.75/x
  3. Step 3: Cross multiply
    628,716x = 997,182.75 × 997,182.75
  4. Step 4: Simplify right side
    628,716x = 994,373,436,897.56
  5. Step 5: Solve for x
    x = 994,373,436,897.56/628,716
  6. Step 6: Final answer
    x = 1,581,593.97

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.