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Finding the Third Proportional to 472,949 and 734,323

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Solution

The third proportional to 472,949 and 734,323 is: 1,140,144.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,949 : 734,323 = 734,323 : x
  2. Step 2: Convert to fraction form
    472,949/734,323 = 734,323/x
  3. Step 3: Cross multiply
    472,949x = 734,323 × 734,323
  4. Step 4: Simplify right side
    472,949x = 539,230,268,329
  5. Step 5: Solve for x
    x = 539,230,268,329/472,949
  6. Step 6: Final answer
    x = 1,140,144.64

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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.