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Finding the Third Proportional to 412,965 and 605,800.50

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Solution

The third proportional to 412,965 and 605,800.50 is: 888,681.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,965 : 605,800.50 = 605,800.50 : x
  2. Step 2: Convert to fraction form
    412,965/605,800.50 = 605,800.50/x
  3. Step 3: Cross multiply
    412,965x = 605,800.50 × 605,800.50
  4. Step 4: Simplify right side
    412,965x = 366,994,245,800.25
  5. Step 5: Solve for x
    x = 366,994,245,800.25/412,965
  6. Step 6: Final answer
    x = 888,681.23

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.