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Finding the Third Proportional to 372,543.75 and 809,907.75

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Solution

The third proportional to 372,543.75 and 809,907.75 is: 1,760,734.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    372,543.75 : 809,907.75 = 809,907.75 : x
  2. Step 2: Convert to fraction form
    372,543.75/809,907.75 = 809,907.75/x
  3. Step 3: Cross multiply
    372,543.75x = 809,907.75 × 809,907.75
  4. Step 4: Simplify right side
    372,543.75x = 655,950,563,510.06
  5. Step 5: Solve for x
    x = 655,950,563,510.06/372,543.75
  6. Step 6: Final answer
    x = 1,760,734.31

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.