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Finding the Third Proportional to 524,916 and 814,350

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Solution

The third proportional to 524,916 and 814,350 is: 1,263,375.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    524,916 : 814,350 = 814,350 : x
  2. Step 2: Convert to fraction form
    524,916/814,350 = 814,350/x
  3. Step 3: Cross multiply
    524,916x = 814,350 × 814,350
  4. Step 4: Simplify right side
    524,916x = 663,165,922,500
  5. Step 5: Solve for x
    x = 663,165,922,500/524,916
  6. Step 6: Final answer
    x = 1,263,375.33

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.