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Finding the Third Proportional to 309,543.19 and 670,610.81

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Solution

The third proportional to 309,543.19 and 670,610.81 is: 1,452,846.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,543.19 : 670,610.81 = 670,610.81 : x
  2. Step 2: Convert to fraction form
    309,543.19/670,610.81 = 670,610.81/x
  3. Step 3: Cross multiply
    309,543.19x = 670,610.81 × 670,610.81
  4. Step 4: Simplify right side
    309,543.19x = 449,718,861,841.91
  5. Step 5: Solve for x
    x = 449,718,861,841.91/309,543.19
  6. Step 6: Final answer
    x = 1,452,846.90

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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.