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Finding the Third Proportional to 479,268 and 727,650

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Solution

The third proportional to 479,268 and 727,650 is: 1,104,756.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    479,268 : 727,650 = 727,650 : x
  2. Step 2: Convert to fraction form
    479,268/727,650 = 727,650/x
  3. Step 3: Cross multiply
    479,268x = 727,650 × 727,650
  4. Step 4: Simplify right side
    479,268x = 529,474,522,500
  5. Step 5: Solve for x
    x = 529,474,522,500/479,268
  6. Step 6: Final answer
    x = 1,104,756.68

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.