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Finding the Third Proportional to 320,960.25 and 496,710

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Solution

The third proportional to 320,960.25 and 496,710 is: 768,695.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,960.25 : 496,710 = 496,710 : x
  2. Step 2: Convert to fraction form
    320,960.25/496,710 = 496,710/x
  3. Step 3: Cross multiply
    320,960.25x = 496,710 × 496,710
  4. Step 4: Simplify right side
    320,960.25x = 246,720,824,100
  5. Step 5: Solve for x
    x = 246,720,824,100/320,960.25
  6. Step 6: Final answer
    x = 768,695.89

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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.