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Finding the Third Proportional to 307,772 and 463,684

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Solution

The third proportional to 307,772 and 463,684 is: 698,578.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,772 : 463,684 = 463,684 : x
  2. Step 2: Convert to fraction form
    307,772/463,684 = 463,684/x
  3. Step 3: Cross multiply
    307,772x = 463,684 × 463,684
  4. Step 4: Simplify right side
    307,772x = 215,002,851,856
  5. Step 5: Solve for x
    x = 215,002,851,856/307,772
  6. Step 6: Final answer
    x = 698,578.34

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.