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Finding the Third Proportional to 230,017 and 471,508

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Solution

The third proportional to 230,017 and 471,508 is: 966,536.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,017 : 471,508 = 471,508 : x
  2. Step 2: Convert to fraction form
    230,017/471,508 = 471,508/x
  3. Step 3: Cross multiply
    230,017x = 471,508 × 471,508
  4. Step 4: Simplify right side
    230,017x = 222,319,794,064
  5. Step 5: Solve for x
    x = 222,319,794,064/230,017
  6. Step 6: Final answer
    x = 966,536.36

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.