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Finding the Third Proportional to 238,784 and 519,040

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Solution

The third proportional to 238,784 and 519,040 is: 1,128,226.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    238,784 : 519,040 = 519,040 : x
  2. Step 2: Convert to fraction form
    238,784/519,040 = 519,040/x
  3. Step 3: Cross multiply
    238,784x = 519,040 × 519,040
  4. Step 4: Simplify right side
    238,784x = 269,402,521,600
  5. Step 5: Solve for x
    x = 269,402,521,600/238,784
  6. Step 6: Final answer
    x = 1,128,226.86

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.