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Finding the Third Proportional to 226,371 and 471,304.50

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Solution

The third proportional to 226,371 and 471,304.50 is: 981,256.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,371 : 471,304.50 = 471,304.50 : x
  2. Step 2: Convert to fraction form
    226,371/471,304.50 = 471,304.50/x
  3. Step 3: Cross multiply
    226,371x = 471,304.50 × 471,304.50
  4. Step 4: Simplify right side
    226,371x = 222,127,931,720.25
  5. Step 5: Solve for x
    x = 222,127,931,720.25/226,371
  6. Step 6: Final answer
    x = 981,256.13

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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.