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Finding the Third Proportional to 514,812 and 787,540.50

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Solution

The third proportional to 514,812 and 787,540.50 is: 1,204,750.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    514,812 : 787,540.50 = 787,540.50 : x
  2. Step 2: Convert to fraction form
    514,812/787,540.50 = 787,540.50/x
  3. Step 3: Cross multiply
    514,812x = 787,540.50 × 787,540.50
  4. Step 4: Simplify right side
    514,812x = 620,220,039,140.25
  5. Step 5: Solve for x
    x = 620,220,039,140.25/514,812
  6. Step 6: Final answer
    x = 1,204,750.55

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.