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Finding the Third Proportional to 524,858 and 787,150

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Solution

The third proportional to 524,858 and 787,150 is: 1,180,519.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    524,858 : 787,150 = 787,150 : x
  2. Step 2: Convert to fraction form
    524,858/787,150 = 787,150/x
  3. Step 3: Cross multiply
    524,858x = 787,150 × 787,150
  4. Step 4: Simplify right side
    524,858x = 619,605,122,500
  5. Step 5: Solve for x
    x = 619,605,122,500/524,858
  6. Step 6: Final answer
    x = 1,180,519.54

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.