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Finding the Third Proportional to 467,928 and 723,888

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Solution

The third proportional to 467,928 and 723,888 is: 1,119,859.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    467,928 : 723,888 = 723,888 : x
  2. Step 2: Convert to fraction form
    467,928/723,888 = 723,888/x
  3. Step 3: Cross multiply
    467,928x = 723,888 × 723,888
  4. Step 4: Simplify right side
    467,928x = 524,013,836,544
  5. Step 5: Solve for x
    x = 524,013,836,544/467,928
  6. Step 6: Final answer
    x = 1,119,859.97

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.