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Finding the Third Proportional to 282,123 and 603,065.25

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Solution

The third proportional to 282,123 and 603,065.25 is: 1,289,110.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,123 : 603,065.25 = 603,065.25 : x
  2. Step 2: Convert to fraction form
    282,123/603,065.25 = 603,065.25/x
  3. Step 3: Cross multiply
    282,123x = 603,065.25 × 603,065.25
  4. Step 4: Simplify right side
    282,123x = 363,687,695,757.56
  5. Step 5: Solve for x
    x = 363,687,695,757.56/282,123
  6. Step 6: Final answer
    x = 1,289,110.41

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