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Finding the Third Proportional to 315,268 and 471,750

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Solution

The third proportional to 315,268 and 471,750 is: 705,901.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,268 : 471,750 = 471,750 : x
  2. Step 2: Convert to fraction form
    315,268/471,750 = 471,750/x
  3. Step 3: Cross multiply
    315,268x = 471,750 × 471,750
  4. Step 4: Simplify right side
    315,268x = 222,548,062,500
  5. Step 5: Solve for x
    x = 222,548,062,500/315,268
  6. Step 6: Final answer
    x = 705,901.21

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.