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Finding the Third Proportional to 332,640 and 591,408

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Solution

The third proportional to 332,640 and 591,408 is: 1,051,477.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    332,640 : 591,408 = 591,408 : x
  2. Step 2: Convert to fraction form
    332,640/591,408 = 591,408/x
  3. Step 3: Cross multiply
    332,640x = 591,408 × 591,408
  4. Step 4: Simplify right side
    332,640x = 349,763,422,464
  5. Step 5: Solve for x
    x = 349,763,422,464/332,640
  6. Step 6: Final answer
    x = 1,051,477.34

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Why These Related Problems?

These problems maintain the same ratio (1.78) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.