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Finding the Third Proportional to 234,752 and 457,744

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Solution

The third proportional to 234,752 and 457,744 is: 892,557.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,752 : 457,744 = 457,744 : x
  2. Step 2: Convert to fraction form
    234,752/457,744 = 457,744/x
  3. Step 3: Cross multiply
    234,752x = 457,744 × 457,744
  4. Step 4: Simplify right side
    234,752x = 209,529,569,536
  5. Step 5: Solve for x
    x = 209,529,569,536/234,752
  6. Step 6: Final answer
    x = 892,557.12

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.