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Finding the Third Proportional to 479,467 and 727,948

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Solution

The third proportional to 479,467 and 727,948 is: 1,105,202.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    479,467 : 727,948 = 727,948 : x
  2. Step 2: Convert to fraction form
    479,467/727,948 = 727,948/x
  3. Step 3: Cross multiply
    479,467x = 727,948 × 727,948
  4. Step 4: Simplify right side
    479,467x = 529,908,290,704
  5. Step 5: Solve for x
    x = 529,908,290,704/479,467
  6. Step 6: Final answer
    x = 1,105,202.84

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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.