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Finding the Third Proportional to 412,968 and 605,804

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Solution

The third proportional to 412,968 and 605,804 is: 888,685.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,968 : 605,804 = 605,804 : x
  2. Step 2: Convert to fraction form
    412,968/605,804 = 605,804/x
  3. Step 3: Cross multiply
    412,968x = 605,804 × 605,804
  4. Step 4: Simplify right side
    412,968x = 366,998,486,416
  5. Step 5: Solve for x
    x = 366,998,486,416/412,968
  6. Step 6: Final answer
    x = 888,685.05

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Why These Related Problems?

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