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Finding the Third Proportional to 461,288.25 and 998,392.50

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Solution

The third proportional to 461,288.25 and 998,392.50 is: 2,160,877.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    461,288.25 : 998,392.50 = 998,392.50 : x
  2. Step 2: Convert to fraction form
    461,288.25/998,392.50 = 998,392.50/x
  3. Step 3: Cross multiply
    461,288.25x = 998,392.50 × 998,392.50
  4. Step 4: Simplify right side
    461,288.25x = 996,787,584,056.25
  5. Step 5: Solve for x
    x = 996,787,584,056.25/461,288.25
  6. Step 6: Final answer
    x = 2,160,877.90

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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.