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Finding the Third Proportional to 474,626 and 734,659

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Solution

The third proportional to 474,626 and 734,659 is: 1,137,156.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    474,626 : 734,659 = 734,659 : x
  2. Step 2: Convert to fraction form
    474,626/734,659 = 734,659/x
  3. Step 3: Cross multiply
    474,626x = 734,659 × 734,659
  4. Step 4: Simplify right side
    474,626x = 539,723,846,281
  5. Step 5: Solve for x
    x = 539,723,846,281/474,626
  6. Step 6: Final answer
    x = 1,137,156.09

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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.