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Finding the Third Proportional to 236,976 and 519,871.50

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Solution

The third proportional to 236,976 and 519,871.50 is: 1,140,479.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    236,976 : 519,871.50 = 519,871.50 : x
  2. Step 2: Convert to fraction form
    236,976/519,871.50 = 519,871.50/x
  3. Step 3: Cross multiply
    236,976x = 519,871.50 × 519,871.50
  4. Step 4: Simplify right side
    236,976x = 270,266,376,512.25
  5. Step 5: Solve for x
    x = 270,266,376,512.25/236,976
  6. Step 6: Final answer
    x = 1,140,479.95

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Why These Related Problems?

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