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Finding the Third Proportional to 413,760 and 632,664

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Solution

The third proportional to 413,760 and 632,664 is: 967,381.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,760 : 632,664 = 632,664 : x
  2. Step 2: Convert to fraction form
    413,760/632,664 = 632,664/x
  3. Step 3: Cross multiply
    413,760x = 632,664 × 632,664
  4. Step 4: Simplify right side
    413,760x = 400,263,736,896
  5. Step 5: Solve for x
    x = 400,263,736,896/413,760
  6. Step 6: Final answer
    x = 967,381.42

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.