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Finding the Third Proportional to 372,351.75 and 803,732.25

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Solution

The third proportional to 372,351.75 and 803,732.25 is: 1,734,879.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    372,351.75 : 803,732.25 = 803,732.25 : x
  2. Step 2: Convert to fraction form
    372,351.75/803,732.25 = 803,732.25/x
  3. Step 3: Cross multiply
    372,351.75x = 803,732.25 × 803,732.25
  4. Step 4: Simplify right side
    372,351.75x = 645,985,529,690.06
  5. Step 5: Solve for x
    x = 645,985,529,690.06/372,351.75
  6. Step 6: Final answer
    x = 1,734,879.80

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.