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Finding the Third Proportional to 372,973.50 and 814,261.50

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Solution

The third proportional to 372,973.50 and 814,261.50 is: 1,777,664.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    372,973.50 : 814,261.50 = 814,261.50 : x
  2. Step 2: Convert to fraction form
    372,973.50/814,261.50 = 814,261.50/x
  3. Step 3: Cross multiply
    372,973.50x = 814,261.50 × 814,261.50
  4. Step 4: Simplify right side
    372,973.50x = 663,021,790,382.25
  5. Step 5: Solve for x
    x = 663,021,790,382.25/372,973.50
  6. Step 6: Final answer
    x = 1,777,664.61

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.