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Finding the Third Proportional to 479,946 and 734,463

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Solution

The third proportional to 479,946 and 734,463 is: 1,123,951.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    479,946 : 734,463 = 734,463 : x
  2. Step 2: Convert to fraction form
    479,946/734,463 = 734,463/x
  3. Step 3: Cross multiply
    479,946x = 734,463 × 734,463
  4. Step 4: Simplify right side
    479,946x = 539,435,898,369
  5. Step 5: Solve for x
    x = 539,435,898,369/479,946
  6. Step 6: Final answer
    x = 1,123,951.23

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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.