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Finding the Third Proportional to 251,877.94 and 532,184.63

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Solution

The third proportional to 251,877.94 and 532,184.63 is: 1,124,435.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    251,877.94 : 532,184.63 = 532,184.63 : x
  2. Step 2: Convert to fraction form
    251,877.94/532,184.63 = 532,184.63/x
  3. Step 3: Cross multiply
    251,877.94x = 532,184.63 × 532,184.63
  4. Step 4: Simplify right side
    251,877.94x = 283,220,475,086.39
  5. Step 5: Solve for x
    x = 283,220,475,086.39/251,877.94
  6. Step 6: Final answer
    x = 1,124,435.42

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These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.