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Finding the Third Proportional to 275,752 and 379,725

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Solution

The third proportional to 275,752 and 379,725 is: 522,901.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,752 : 379,725 = 379,725 : x
  2. Step 2: Convert to fraction form
    275,752/379,725 = 379,725/x
  3. Step 3: Cross multiply
    275,752x = 379,725 × 379,725
  4. Step 4: Simplify right side
    275,752x = 144,191,075,625
  5. Step 5: Solve for x
    x = 144,191,075,625/275,752
  6. Step 6: Final answer
    x = 522,901.29

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.