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Finding the Third Proportional to 226,597.50 and 476,523

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Solution

The third proportional to 226,597.50 and 476,523 is: 1,002,103.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,597.50 : 476,523 = 476,523 : x
  2. Step 2: Convert to fraction form
    226,597.50/476,523 = 476,523/x
  3. Step 3: Cross multiply
    226,597.50x = 476,523 × 476,523
  4. Step 4: Simplify right side
    226,597.50x = 227,074,169,529
  5. Step 5: Solve for x
    x = 227,074,169,529/226,597.50
  6. Step 6: Final answer
    x = 1,002,103.60

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.