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Finding the Third Proportional to 461,289.25 and 998,394.25

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Solution

The third proportional to 461,289.25 and 998,394.25 is: 2,160,880.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    461,289.25 : 998,394.25 = 998,394.25 : x
  2. Step 2: Convert to fraction form
    461,289.25/998,394.25 = 998,394.25/x
  3. Step 3: Cross multiply
    461,289.25x = 998,394.25 × 998,394.25
  4. Step 4: Simplify right side
    461,289.25x = 996,791,078,433.06
  5. Step 5: Solve for x
    x = 996,791,078,433.06/461,289.25
  6. Step 6: Final answer
    x = 2,160,880.79

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.