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Finding the Third Proportional to 455,384.25 and 723,778.88

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Solution

The third proportional to 455,384.25 and 723,778.88 is: 1,150,360.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    455,384.25 : 723,778.88 = 723,778.88 : x
  2. Step 2: Convert to fraction form
    455,384.25/723,778.88 = 723,778.88/x
  3. Step 3: Cross multiply
    455,384.25x = 723,778.88 × 723,778.88
  4. Step 4: Simplify right side
    455,384.25x = 523,855,859,896.27
  5. Step 5: Solve for x
    x = 523,855,859,896.27/455,384.25
  6. Step 6: Final answer
    x = 1,150,360.07

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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.