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Finding the Third Proportional to 466,424 and 720,249

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Solution

The third proportional to 466,424 and 720,249 is: 1,112,203.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    466,424 : 720,249 = 720,249 : x
  2. Step 2: Convert to fraction form
    466,424/720,249 = 720,249/x
  3. Step 3: Cross multiply
    466,424x = 720,249 × 720,249
  4. Step 4: Simplify right side
    466,424x = 518,758,622,001
  5. Step 5: Solve for x
    x = 518,758,622,001/466,424
  6. Step 6: Final answer
    x = 1,112,203.96

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.