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Finding the Third Proportional to 207,246 and 442,932

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Solution

The third proportional to 207,246 and 442,932 is: 946,646.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,246 : 442,932 = 442,932 : x
  2. Step 2: Convert to fraction form
    207,246/442,932 = 442,932/x
  3. Step 3: Cross multiply
    207,246x = 442,932 × 442,932
  4. Step 4: Simplify right side
    207,246x = 196,188,756,624
  5. Step 5: Solve for x
    x = 196,188,756,624/207,246
  6. Step 6: Final answer
    x = 946,646.77

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.