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Finding the Third Proportional to 258,112.13 and 482,892.19

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Solution

The third proportional to 258,112.13 and 482,892.19 is: 903,424.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,112.13 : 482,892.19 = 482,892.19 : x
  2. Step 2: Convert to fraction form
    258,112.13/482,892.19 = 482,892.19/x
  3. Step 3: Cross multiply
    258,112.13x = 482,892.19 × 482,892.19
  4. Step 4: Simplify right side
    258,112.13x = 233,184,864,748.54
  5. Step 5: Solve for x
    x = 233,184,864,748.54/258,112.13
  6. Step 6: Final answer
    x = 903,424.68

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These problems maintain the same ratio (1.87) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.