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Finding the Third Proportional to 412,948.13 and 605,775.38

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Solution

The third proportional to 412,948.13 and 605,775.38 is: 888,643.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,948.13 : 605,775.38 = 605,775.38 : x
  2. Step 2: Convert to fraction form
    412,948.13/605,775.38 = 605,775.38/x
  3. Step 3: Cross multiply
    412,948.13x = 605,775.38 × 605,775.38
  4. Step 4: Simplify right side
    412,948.13x = 366,963,804,956.39
  5. Step 5: Solve for x
    x = 366,963,804,956.39/412,948.13
  6. Step 6: Final answer
    x = 888,643.83

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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.