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Finding the Third Proportional to 226,423 and 471,222

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Solution

The third proportional to 226,423 and 471,222 is: 980,687.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,423 : 471,222 = 471,222 : x
  2. Step 2: Convert to fraction form
    226,423/471,222 = 471,222/x
  3. Step 3: Cross multiply
    226,423x = 471,222 × 471,222
  4. Step 4: Simplify right side
    226,423x = 222,050,173,284
  5. Step 5: Solve for x
    x = 222,050,173,284/226,423
  6. Step 6: Final answer
    x = 980,687.36

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.