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Finding the Third Proportional to 372,546 and 809,911.50

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Solution

The third proportional to 372,546 and 809,911.50 is: 1,760,739.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    372,546 : 809,911.50 = 809,911.50 : x
  2. Step 2: Convert to fraction form
    372,546/809,911.50 = 809,911.50/x
  3. Step 3: Cross multiply
    372,546x = 809,911.50 × 809,911.50
  4. Step 4: Simplify right side
    372,546x = 655,956,637,832.25
  5. Step 5: Solve for x
    x = 655,956,637,832.25/372,546
  6. Step 6: Final answer
    x = 1,760,739.98

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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.