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Finding the Third Proportional to 550,277.30 and 723,612.23

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Solution

The third proportional to 550,277.30 and 723,612.23 is: 951,546.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    550,277.30 : 723,612.23 = 723,612.23 : x
  2. Step 2: Convert to fraction form
    550,277.30/723,612.23 = 723,612.23/x
  3. Step 3: Cross multiply
    550,277.30x = 723,612.23 × 723,612.23
  4. Step 4: Simplify right side
    550,277.30x = 523,614,665,737.18
  5. Step 5: Solve for x
    x = 523,614,665,737.18/550,277.30
  6. Step 6: Final answer
    x = 951,546.92

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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.