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Finding the Third Proportional to 524,958 and 814,401

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Solution

The third proportional to 524,958 and 814,401 is: 1,263,432.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    524,958 : 814,401 = 814,401 : x
  2. Step 2: Convert to fraction form
    524,958/814,401 = 814,401/x
  3. Step 3: Cross multiply
    524,958x = 814,401 × 814,401
  4. Step 4: Simplify right side
    524,958x = 663,248,988,801
  5. Step 5: Solve for x
    x = 663,248,988,801/524,958
  6. Step 6: Final answer
    x = 1,263,432.48

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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.