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Finding the Third Proportional to 307,974 and 476,663

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Solution

The third proportional to 307,974 and 476,663 is: 737,749.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,974 : 476,663 = 476,663 : x
  2. Step 2: Convert to fraction form
    307,974/476,663 = 476,663/x
  3. Step 3: Cross multiply
    307,974x = 476,663 × 476,663
  4. Step 4: Simplify right side
    307,974x = 227,207,615,569
  5. Step 5: Solve for x
    x = 227,207,615,569/307,974
  6. Step 6: Final answer
    x = 737,749.34

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.