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Finding the Third Proportional to 522,577 and 763,701

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Solution

The third proportional to 522,577 and 763,701 is: 1,116,082.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    522,577 : 763,701 = 763,701 : x
  2. Step 2: Convert to fraction form
    522,577/763,701 = 763,701/x
  3. Step 3: Cross multiply
    522,577x = 763,701 × 763,701
  4. Step 4: Simplify right side
    522,577x = 583,239,217,401
  5. Step 5: Solve for x
    x = 583,239,217,401/522,577
  6. Step 6: Final answer
    x = 1,116,082.83

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.