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Finding the Third Proportional to 461,274.75 and 998,365.50

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Solution

The third proportional to 461,274.75 and 998,365.50 is: 2,160,824.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    461,274.75 : 998,365.50 = 998,365.50 : x
  2. Step 2: Convert to fraction form
    461,274.75/998,365.50 = 998,365.50/x
  3. Step 3: Cross multiply
    461,274.75x = 998,365.50 × 998,365.50
  4. Step 4: Simplify right side
    461,274.75x = 996,733,671,590.25
  5. Step 5: Solve for x
    x = 996,733,671,590.25/461,274.75
  6. Step 6: Final answer
    x = 2,160,824.26

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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.