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Finding the Third Proportional to 244,222 and 520,701

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Solution

The third proportional to 244,222 and 520,701 is: 1,110,176.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    244,222 : 520,701 = 520,701 : x
  2. Step 2: Convert to fraction form
    244,222/520,701 = 520,701/x
  3. Step 3: Cross multiply
    244,222x = 520,701 × 520,701
  4. Step 4: Simplify right side
    244,222x = 271,129,531,401
  5. Step 5: Solve for x
    x = 271,129,531,401/244,222
  6. Step 6: Final answer
    x = 1,110,176.53

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.