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Finding the Third Proportional to 527,226 and 798,231.75

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Solution

The third proportional to 527,226 and 798,231.75 is: 1,208,540.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    527,226 : 798,231.75 = 798,231.75 : x
  2. Step 2: Convert to fraction form
    527,226/798,231.75 = 798,231.75/x
  3. Step 3: Cross multiply
    527,226x = 798,231.75 × 798,231.75
  4. Step 4: Simplify right side
    527,226x = 637,173,926,708.06
  5. Step 5: Solve for x
    x = 637,173,926,708.06/527,226
  6. Step 6: Final answer
    x = 1,208,540.41

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.