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Finding the Third Proportional to 524,868 and 787,165

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Solution

The third proportional to 524,868 and 787,165 is: 1,180,542.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    524,868 : 787,165 = 787,165 : x
  2. Step 2: Convert to fraction form
    524,868/787,165 = 787,165/x
  3. Step 3: Cross multiply
    524,868x = 787,165 × 787,165
  4. Step 4: Simplify right side
    524,868x = 619,628,737,225
  5. Step 5: Solve for x
    x = 619,628,737,225/524,868
  6. Step 6: Final answer
    x = 1,180,542.04

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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.