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Finding the Third Proportional to 303,921 and 472,596.75

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Solution

The third proportional to 303,921 and 472,596.75 is: 734,887.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    303,921 : 472,596.75 = 472,596.75 : x
  2. Step 2: Convert to fraction form
    303,921/472,596.75 = 472,596.75/x
  3. Step 3: Cross multiply
    303,921x = 472,596.75 × 472,596.75
  4. Step 4: Simplify right side
    303,921x = 223,347,688,110.56
  5. Step 5: Solve for x
    x = 223,347,688,110.56/303,921
  6. Step 6: Final answer
    x = 734,887.32

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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.