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Finding the Third Proportional to 474,720 and 734,800

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Solution

The third proportional to 474,720 and 734,800 is: 1,137,367.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    474,720 : 734,800 = 734,800 : x
  2. Step 2: Convert to fraction form
    474,720/734,800 = 734,800/x
  3. Step 3: Cross multiply
    474,720x = 734,800 × 734,800
  4. Step 4: Simplify right side
    474,720x = 539,931,040,000
  5. Step 5: Solve for x
    x = 539,931,040,000/474,720
  6. Step 6: Final answer
    x = 1,137,367.37

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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.