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Finding the Third Proportional to 523,660.50 and 800,719.88

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Solution

The third proportional to 523,660.50 and 800,719.88 is: 1,224,366.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    523,660.50 : 800,719.88 = 800,719.88 : x
  2. Step 2: Convert to fraction form
    523,660.50/800,719.88 = 800,719.88/x
  3. Step 3: Cross multiply
    523,660.50x = 800,719.88 × 800,719.88
  4. Step 4: Simplify right side
    523,660.50x = 641,152,318,220.02
  5. Step 5: Solve for x
    x = 641,152,318,220.02/523,660.50
  6. Step 6: Final answer
    x = 1,224,366.39

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.