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Finding the Third Proportional to 479,281 and 727,670

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Solution

The third proportional to 479,281 and 727,670 is: 1,104,787.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    479,281 : 727,670 = 727,670 : x
  2. Step 2: Convert to fraction form
    479,281/727,670 = 727,670/x
  3. Step 3: Cross multiply
    479,281x = 727,670 × 727,670
  4. Step 4: Simplify right side
    479,281x = 529,503,628,900
  5. Step 5: Solve for x
    x = 529,503,628,900/479,281
  6. Step 6: Final answer
    x = 1,104,787.44

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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.