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Finding the Third Proportional to 695,338.25 and 1,443,967.75

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Solution

The third proportional to 695,338.25 and 1,443,967.75 is: 2,998,602.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    695,338.25 : 1,443,967.75 = 1,443,967.75 : x
  2. Step 2: Convert to fraction form
    695,338.25/1,443,967.75 = 1,443,967.75/x
  3. Step 3: Cross multiply
    695,338.25x = 1,443,967.75 × 1,443,967.75
  4. Step 4: Simplify right side
    695,338.25x = 2,085,042,863,040.06
  5. Step 5: Solve for x
    x = 2,085,042,863,040.06/695,338.25
  6. Step 6: Final answer
    x = 2,998,602.28

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.