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Finding the Third Proportional to 303,382.31 and 471,058.88

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Solution

The third proportional to 303,382.31 and 471,058.88 is: 731,408.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    303,382.31 : 471,058.88 = 471,058.88 : x
  2. Step 2: Convert to fraction form
    303,382.31/471,058.88 = 471,058.88/x
  3. Step 3: Cross multiply
    303,382.31x = 471,058.88 × 471,058.88
  4. Step 4: Simplify right side
    303,382.31x = 221,896,463,716.27
  5. Step 5: Solve for x
    x = 221,896,463,716.27/303,382.31
  6. Step 6: Final answer
    x = 731,408.70

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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.