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Finding the Third Proportional to 523,816.88 and 830,832.19

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Solution

The third proportional to 523,816.88 and 830,832.19 is: 1,317,792.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    523,816.88 : 830,832.19 = 830,832.19 : x
  2. Step 2: Convert to fraction form
    523,816.88/830,832.19 = 830,832.19/x
  3. Step 3: Cross multiply
    523,816.88x = 830,832.19 × 830,832.19
  4. Step 4: Simplify right side
    523,816.88x = 690,282,123,786.04
  5. Step 5: Solve for x
    x = 690,282,123,786.04/523,816.88
  6. Step 6: Final answer
    x = 1,317,792.83

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.