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Finding the Third Proportional to 238,002.05 and 519,406.17

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Solution

The third proportional to 238,002.05 and 519,406.17 is: 1,133,531.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    238,002.05 : 519,406.17 = 519,406.17 : x
  2. Step 2: Convert to fraction form
    238,002.05/519,406.17 = 519,406.17/x
  3. Step 3: Cross multiply
    238,002.05x = 519,406.17 × 519,406.17
  4. Step 4: Simplify right side
    238,002.05x = 269,782,771,381.84
  5. Step 5: Solve for x
    x = 269,782,771,381.84/238,002.05
  6. Step 6: Final answer
    x = 1,133,531.31

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.