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Finding the Third Proportional to 372,338 and 575,357

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Solution

The third proportional to 372,338 and 575,357 is: 889,073.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    372,338 : 575,357 = 575,357 : x
  2. Step 2: Convert to fraction form
    372,338/575,357 = 575,357/x
  3. Step 3: Cross multiply
    372,338x = 575,357 × 575,357
  4. Step 4: Simplify right side
    372,338x = 331,035,677,449
  5. Step 5: Solve for x
    x = 331,035,677,449/372,338
  6. Step 6: Final answer
    x = 889,073.04

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.