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Finding the Third Proportional to 502,533 and 1,093,659.50

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Solution

The third proportional to 502,533 and 1,093,659.50 is: 2,380,124.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    502,533 : 1,093,659.50 = 1,093,659.50 : x
  2. Step 2: Convert to fraction form
    502,533/1,093,659.50 = 1,093,659.50/x
  3. Step 3: Cross multiply
    502,533x = 1,093,659.50 × 1,093,659.50
  4. Step 4: Simplify right side
    502,533x = 1,196,091,101,940.25
  5. Step 5: Solve for x
    x = 1,196,091,101,940.25/502,533
  6. Step 6: Final answer
    x = 2,380,124.49

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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.