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Finding the Third Proportional to 305,475.75 and 472,524.75

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Solution

The third proportional to 305,475.75 and 472,524.75 is: 730,924.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,475.75 : 472,524.75 = 472,524.75 : x
  2. Step 2: Convert to fraction form
    305,475.75/472,524.75 = 472,524.75/x
  3. Step 3: Cross multiply
    305,475.75x = 472,524.75 × 472,524.75
  4. Step 4: Simplify right side
    305,475.75x = 223,279,639,362.56
  5. Step 5: Solve for x
    x = 223,279,639,362.56/305,475.75
  6. Step 6: Final answer
    x = 730,924.27

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.