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Finding the Third Proportional to 258,040.13 and 379,455.75

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Solution

The third proportional to 258,040.13 and 379,455.75 is: 558,001.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,040.13 : 379,455.75 = 379,455.75 : x
  2. Step 2: Convert to fraction form
    258,040.13/379,455.75 = 379,455.75/x
  3. Step 3: Cross multiply
    258,040.13x = 379,455.75 × 379,455.75
  4. Step 4: Simplify right side
    258,040.13x = 143,986,666,208.06
  5. Step 5: Solve for x
    x = 143,986,666,208.06/258,040.13
  6. Step 6: Final answer
    x = 558,001.07

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.