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Finding the Third Proportional to 412,947 and 605,773.13

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Solution

The third proportional to 412,947 and 605,773.13 is: 888,639.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,947 : 605,773.13 = 605,773.13 : x
  2. Step 2: Convert to fraction form
    412,947/605,773.13 = 605,773.13/x
  3. Step 3: Cross multiply
    412,947x = 605,773.13 × 605,773.13
  4. Step 4: Simplify right side
    412,947x = 366,961,078,972.27
  5. Step 5: Solve for x
    x = 366,961,078,972.27/412,947
  6. Step 6: Final answer
    x = 888,639.65

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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.