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Finding the Third Proportional to 466,414 and 720,234

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Solution

The third proportional to 466,414 and 720,234 is: 1,112,181.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    466,414 : 720,234 = 720,234 : x
  2. Step 2: Convert to fraction form
    466,414/720,234 = 720,234/x
  3. Step 3: Cross multiply
    466,414x = 720,234 × 720,234
  4. Step 4: Simplify right side
    466,414x = 518,737,014,756
  5. Step 5: Solve for x
    x = 518,737,014,756/466,414
  6. Step 6: Final answer
    x = 1,112,181.48

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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.