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Finding the Third Proportional to 331,562.25 and 723,838.50

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Solution

The third proportional to 331,562.25 and 723,838.50 is: 1,580,222.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    331,562.25 : 723,838.50 = 723,838.50 : x
  2. Step 2: Convert to fraction form
    331,562.25/723,838.50 = 723,838.50/x
  3. Step 3: Cross multiply
    331,562.25x = 723,838.50 × 723,838.50
  4. Step 4: Simplify right side
    331,562.25x = 523,942,174,082.25
  5. Step 5: Solve for x
    x = 523,942,174,082.25/331,562.25
  6. Step 6: Final answer
    x = 1,580,222.64

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.