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Finding the Third Proportional to 236,982 and 519,883.50

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Solution

The third proportional to 236,982 and 519,883.50 is: 1,140,503.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    236,982 : 519,883.50 = 519,883.50 : x
  2. Step 2: Convert to fraction form
    236,982/519,883.50 = 519,883.50/x
  3. Step 3: Cross multiply
    236,982x = 519,883.50 × 519,883.50
  4. Step 4: Simplify right side
    236,982x = 270,278,853,572.25
  5. Step 5: Solve for x
    x = 270,278,853,572.25/236,982
  6. Step 6: Final answer
    x = 1,140,503.72

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.