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Finding the Third Proportional to 451,801.50 and 941,023.50

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Solution

The third proportional to 451,801.50 and 941,023.50 is: 1,959,987.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    451,801.50 : 941,023.50 = 941,023.50 : x
  2. Step 2: Convert to fraction form
    451,801.50/941,023.50 = 941,023.50/x
  3. Step 3: Cross multiply
    451,801.50x = 941,023.50 × 941,023.50
  4. Step 4: Simplify right side
    451,801.50x = 885,525,227,552.25
  5. Step 5: Solve for x
    x = 885,525,227,552.25/451,801.50
  6. Step 6: Final answer
    x = 1,959,987.36

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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.