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Finding the Third Proportional to 372,821.63 and 818,223.75

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Solution

The third proportional to 372,821.63 and 818,223.75 is: 1,795,738.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    372,821.63 : 818,223.75 = 818,223.75 : x
  2. Step 2: Convert to fraction form
    372,821.63/818,223.75 = 818,223.75/x
  3. Step 3: Cross multiply
    372,821.63x = 818,223.75 × 818,223.75
  4. Step 4: Simplify right side
    372,821.63x = 669,490,105,064.06
  5. Step 5: Solve for x
    x = 669,490,105,064.06/372,821.63
  6. Step 6: Final answer
    x = 1,795,738.39

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.