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Finding the Third Proportional to 479,944 and 734,460

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Solution

The third proportional to 479,944 and 734,460 is: 1,123,946.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    479,944 : 734,460 = 734,460 : x
  2. Step 2: Convert to fraction form
    479,944/734,460 = 734,460/x
  3. Step 3: Cross multiply
    479,944x = 734,460 × 734,460
  4. Step 4: Simplify right side
    479,944x = 539,431,491,600
  5. Step 5: Solve for x
    x = 539,431,491,600/479,944
  6. Step 6: Final answer
    x = 1,123,946.73

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.