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Finding the Third Proportional to 340,960.50 and 496,447

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Solution

The third proportional to 340,960.50 and 496,447 is: 722,839.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,960.50 : 496,447 = 496,447 : x
  2. Step 2: Convert to fraction form
    340,960.50/496,447 = 496,447/x
  3. Step 3: Cross multiply
    340,960.50x = 496,447 × 496,447
  4. Step 4: Simplify right side
    340,960.50x = 246,459,623,809
  5. Step 5: Solve for x
    x = 246,459,623,809/340,960.50
  6. Step 6: Final answer
    x = 722,839.23

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.