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Finding the Third Proportional to 207,394 and 427,684

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Solution

The third proportional to 207,394 and 427,684 is: 881,961.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,394 : 427,684 = 427,684 : x
  2. Step 2: Convert to fraction form
    207,394/427,684 = 427,684/x
  3. Step 3: Cross multiply
    207,394x = 427,684 × 427,684
  4. Step 4: Simplify right side
    207,394x = 182,913,603,856
  5. Step 5: Solve for x
    x = 182,913,603,856/207,394
  6. Step 6: Final answer
    x = 881,961.89

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.