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Finding the Third Proportional to 334,752 and 737,408

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Solution

The third proportional to 334,752 and 737,408 is: 1,624,398.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    334,752 : 737,408 = 737,408 : x
  2. Step 2: Convert to fraction form
    334,752/737,408 = 737,408/x
  3. Step 3: Cross multiply
    334,752x = 737,408 × 737,408
  4. Step 4: Simplify right side
    334,752x = 543,770,558,464
  5. Step 5: Solve for x
    x = 543,770,558,464/334,752
  6. Step 6: Final answer
    x = 1,624,398.24

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.