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Finding the Third Proportional to 301,555.13 and 467,115.75

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Solution

The third proportional to 301,555.13 and 467,115.75 is: 723,572.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,555.13 : 467,115.75 = 467,115.75 : x
  2. Step 2: Convert to fraction form
    301,555.13/467,115.75 = 467,115.75/x
  3. Step 3: Cross multiply
    301,555.13x = 467,115.75 × 467,115.75
  4. Step 4: Simplify right side
    301,555.13x = 218,197,123,898.06
  5. Step 5: Solve for x
    x = 218,197,123,898.06/301,555.13
  6. Step 6: Final answer
    x = 723,572.93

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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.