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Finding the Third Proportional to 200,956 and 422,594

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Solution

The third proportional to 200,956 and 422,594 is: 888,680.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,956 : 422,594 = 422,594 : x
  2. Step 2: Convert to fraction form
    200,956/422,594 = 422,594/x
  3. Step 3: Cross multiply
    200,956x = 422,594 × 422,594
  4. Step 4: Simplify right side
    200,956x = 178,585,688,836
  5. Step 5: Solve for x
    x = 178,585,688,836/200,956
  6. Step 6: Final answer
    x = 888,680.55

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.