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Finding the Third Proportional to 201,079 and 442,644

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Solution

The third proportional to 201,079 and 442,644 is: 974,411.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,079 : 442,644 = 442,644 : x
  2. Step 2: Convert to fraction form
    201,079/442,644 = 442,644/x
  3. Step 3: Cross multiply
    201,079x = 442,644 × 442,644
  4. Step 4: Simplify right side
    201,079x = 195,933,710,736
  5. Step 5: Solve for x
    x = 195,933,710,736/201,079
  6. Step 6: Final answer
    x = 974,411.60

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.