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Finding the Third Proportional to 472,995 and 734,367

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Solution

The third proportional to 472,995 and 734,367 is: 1,140,170.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,995 : 734,367 = 734,367 : x
  2. Step 2: Convert to fraction form
    472,995/734,367 = 734,367/x
  3. Step 3: Cross multiply
    472,995x = 734,367 × 734,367
  4. Step 4: Simplify right side
    472,995x = 539,294,890,689
  5. Step 5: Solve for x
    x = 539,294,890,689/472,995
  6. Step 6: Final answer
    x = 1,140,170.38

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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.