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Finding the Third Proportional to 417,018 and 690,228

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Solution

The third proportional to 417,018 and 690,228 is: 1,142,431.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,018 : 690,228 = 690,228 : x
  2. Step 2: Convert to fraction form
    417,018/690,228 = 690,228/x
  3. Step 3: Cross multiply
    417,018x = 690,228 × 690,228
  4. Step 4: Simplify right side
    417,018x = 476,414,691,984
  5. Step 5: Solve for x
    x = 476,414,691,984/417,018
  6. Step 6: Final answer
    x = 1,142,431.96

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Why These Related Problems?

These problems maintain the same ratio (1.66) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.