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Finding the Third Proportional to 467,966 and 723,999

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Solution

The third proportional to 467,966 and 723,999 is: 1,120,112.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    467,966 : 723,999 = 723,999 : x
  2. Step 2: Convert to fraction form
    467,966/723,999 = 723,999/x
  3. Step 3: Cross multiply
    467,966x = 723,999 × 723,999
  4. Step 4: Simplify right side
    467,966x = 524,174,552,001
  5. Step 5: Solve for x
    x = 524,174,552,001/467,966
  6. Step 6: Final answer
    x = 1,120,112.47

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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.