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Finding the Third Proportional to 474,690 and 734,763

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Solution

The third proportional to 474,690 and 734,763 is: 1,137,324.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    474,690 : 734,763 = 734,763 : x
  2. Step 2: Convert to fraction form
    474,690/734,763 = 734,763/x
  3. Step 3: Cross multiply
    474,690x = 734,763 × 734,763
  4. Step 4: Simplify right side
    474,690x = 539,876,666,169
  5. Step 5: Solve for x
    x = 539,876,666,169/474,690
  6. Step 6: Final answer
    x = 1,137,324.71

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.