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Finding the Third Proportional to 741,331.75 and 1,627,005.50

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Solution

The third proportional to 741,331.75 and 1,627,005.50 is: 3,570,799.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    741,331.75 : 1,627,005.50 = 1,627,005.50 : x
  2. Step 2: Convert to fraction form
    741,331.75/1,627,005.50 = 1,627,005.50/x
  3. Step 3: Cross multiply
    741,331.75x = 1,627,005.50 × 1,627,005.50
  4. Step 4: Simplify right side
    741,331.75x = 2,647,146,897,030.25
  5. Step 5: Solve for x
    x = 2,647,146,897,030.25/741,331.75
  6. Step 6: Final answer
    x = 3,570,799.30

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.