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Finding the Third Proportional to 258,384.94 and 387,848.25

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Solution

The third proportional to 258,384.94 and 387,848.25 is: 582,178.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,384.94 : 387,848.25 = 387,848.25 : x
  2. Step 2: Convert to fraction form
    258,384.94/387,848.25 = 387,848.25/x
  3. Step 3: Cross multiply
    258,384.94x = 387,848.25 × 387,848.25
  4. Step 4: Simplify right side
    258,384.94x = 150,426,265,028.06
  5. Step 5: Solve for x
    x = 150,426,265,028.06/258,384.94
  6. Step 6: Final answer
    x = 582,178.92

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.