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Finding the Third Proportional to 422,258.06 and 633,941.44

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Solution

The third proportional to 422,258.06 and 633,941.44 is: 951,744.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,258.06 : 633,941.44 = 633,941.44 : x
  2. Step 2: Convert to fraction form
    422,258.06/633,941.44 = 633,941.44/x
  3. Step 3: Cross multiply
    422,258.06x = 633,941.44 × 633,941.44
  4. Step 4: Simplify right side
    422,258.06x = 401,881,746,179.57
  5. Step 5: Solve for x
    x = 401,881,746,179.57/422,258.06
  6. Step 6: Final answer
    x = 951,744.40

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.