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Finding the Third Proportional to 524,865 and 787,161

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Solution

The third proportional to 524,865 and 787,161 is: 1,180,536.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    524,865 : 787,161 = 787,161 : x
  2. Step 2: Convert to fraction form
    524,865/787,161 = 787,161/x
  3. Step 3: Cross multiply
    524,865x = 787,161 × 787,161
  4. Step 4: Simplify right side
    524,865x = 619,622,439,921
  5. Step 5: Solve for x
    x = 619,622,439,921/524,865
  6. Step 6: Final answer
    x = 1,180,536.79

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Why These Related Problems?

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