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Finding the Third Proportional to 376,058.25 and 565,884

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Solution

The third proportional to 376,058.25 and 565,884 is: 851,529.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    376,058.25 : 565,884 = 565,884 : x
  2. Step 2: Convert to fraction form
    376,058.25/565,884 = 565,884/x
  3. Step 3: Cross multiply
    376,058.25x = 565,884 × 565,884
  4. Step 4: Simplify right side
    376,058.25x = 320,224,701,456
  5. Step 5: Solve for x
    x = 320,224,701,456/376,058.25
  6. Step 6: Final answer
    x = 851,529.52

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.