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Finding the Third Proportional to 502,027 and 764,811.50

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Solution

The third proportional to 502,027 and 764,811.50 is: 1,165,149.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    502,027 : 764,811.50 = 764,811.50 : x
  2. Step 2: Convert to fraction form
    502,027/764,811.50 = 764,811.50/x
  3. Step 3: Cross multiply
    502,027x = 764,811.50 × 764,811.50
  4. Step 4: Simplify right side
    502,027x = 584,936,630,532.25
  5. Step 5: Solve for x
    x = 584,936,630,532.25/502,027
  6. Step 6: Final answer
    x = 1,165,149.74

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.