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Finding the Third Proportional to 464,622 and 683,325

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Solution

The third proportional to 464,622 and 683,325 is: 1,004,974.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    464,622 : 683,325 = 683,325 : x
  2. Step 2: Convert to fraction form
    464,622/683,325 = 683,325/x
  3. Step 3: Cross multiply
    464,622x = 683,325 × 683,325
  4. Step 4: Simplify right side
    464,622x = 466,933,055,625
  5. Step 5: Solve for x
    x = 466,933,055,625/464,622
  6. Step 6: Final answer
    x = 1,004,974.06

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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.