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Finding the Third Proportional to 378,537.50 and 581,837.75

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Solution

The third proportional to 378,537.50 and 581,837.75 is: 894,323.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,537.50 : 581,837.75 = 581,837.75 : x
  2. Step 2: Convert to fraction form
    378,537.50/581,837.75 = 581,837.75/x
  3. Step 3: Cross multiply
    378,537.50x = 581,837.75 × 581,837.75
  4. Step 4: Simplify right side
    378,537.50x = 338,535,167,325.06
  5. Step 5: Solve for x
    x = 338,535,167,325.06/378,537.50
  6. Step 6: Final answer
    x = 894,323.99

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.