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Finding the Third Proportional to 307,728 and 461,592

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Solution

The third proportional to 307,728 and 461,592 is: 692,388

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,728 : 461,592 = 461,592 : x
  2. Step 2: Convert to fraction form
    307,728/461,592 = 461,592/x
  3. Step 3: Cross multiply
    307,728x = 461,592 × 461,592
  4. Step 4: Simplify right side
    307,728x = 213,067,174,464
  5. Step 5: Solve for x
    x = 213,067,174,464/307,728
  6. Step 6: Final answer
    x = 692,388

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.