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Finding the Third Proportional to 354,752 and 755,512

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Solution

The third proportional to 354,752 and 755,512 is: 1,609,006.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,752 : 755,512 = 755,512 : x
  2. Step 2: Convert to fraction form
    354,752/755,512 = 755,512/x
  3. Step 3: Cross multiply
    354,752x = 755,512 × 755,512
  4. Step 4: Simplify right side
    354,752x = 570,798,382,144
  5. Step 5: Solve for x
    x = 570,798,382,144/354,752
  6. Step 6: Final answer
    x = 1,609,006.81

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.