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Finding the Third Proportional to 484,372.50 and 746,997.75

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Solution

The third proportional to 484,372.50 and 746,997.75 is: 1,152,017.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    484,372.50 : 746,997.75 = 746,997.75 : x
  2. Step 2: Convert to fraction form
    484,372.50/746,997.75 = 746,997.75/x
  3. Step 3: Cross multiply
    484,372.50x = 746,997.75 × 746,997.75
  4. Step 4: Simplify right side
    484,372.50x = 558,005,638,505.06
  5. Step 5: Solve for x
    x = 558,005,638,505.06/484,372.50
  6. Step 6: Final answer
    x = 1,152,017.59

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.