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Finding the Third Proportional to 550,288.50 and 723,625.50

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Solution

The third proportional to 550,288.50 and 723,625.50 is: 951,562.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    550,288.50 : 723,625.50 = 723,625.50 : x
  2. Step 2: Convert to fraction form
    550,288.50/723,625.50 = 723,625.50/x
  3. Step 3: Cross multiply
    550,288.50x = 723,625.50 × 723,625.50
  4. Step 4: Simplify right side
    550,288.50x = 523,633,864,250.25
  5. Step 5: Solve for x
    x = 523,633,864,250.25/550,288.50
  6. Step 6: Final answer
    x = 951,562.43

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Why These Related Problems?

These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.