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Finding the Third Proportional to 376,759 and 565,981.50

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Solution

The third proportional to 376,759 and 565,981.50 is: 850,238.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    376,759 : 565,981.50 = 565,981.50 : x
  2. Step 2: Convert to fraction form
    376,759/565,981.50 = 565,981.50/x
  3. Step 3: Cross multiply
    376,759x = 565,981.50 × 565,981.50
  4. Step 4: Simplify right side
    376,759x = 320,335,058,342.25
  5. Step 5: Solve for x
    x = 320,335,058,342.25/376,759
  6. Step 6: Final answer
    x = 850,238.64

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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.