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Finding the Third Proportional to 524,859 and 787,152

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Solution

The third proportional to 524,859 and 787,152 is: 1,180,523.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    524,859 : 787,152 = 787,152 : x
  2. Step 2: Convert to fraction form
    524,859/787,152 = 787,152/x
  3. Step 3: Cross multiply
    524,859x = 787,152 × 787,152
  4. Step 4: Simplify right side
    524,859x = 619,608,271,104
  5. Step 5: Solve for x
    x = 619,608,271,104/524,859
  6. Step 6: Final answer
    x = 1,180,523.29

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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.