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Finding the Third Proportional to 370,504.75 and 797,182.75

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Solution

The third proportional to 370,504.75 and 797,182.75 is: 1,715,228.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    370,504.75 : 797,182.75 = 797,182.75 : x
  2. Step 2: Convert to fraction form
    370,504.75/797,182.75 = 797,182.75/x
  3. Step 3: Cross multiply
    370,504.75x = 797,182.75 × 797,182.75
  4. Step 4: Simplify right side
    370,504.75x = 635,500,336,897.56
  5. Step 5: Solve for x
    x = 635,500,336,897.56/370,504.75
  6. Step 6: Final answer
    x = 1,715,228.58

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.