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Finding the Third Proportional to 366,561.70 and 766,621.81

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Solution

The third proportional to 366,561.70 and 766,621.81 is: 1,603,301.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    366,561.70 : 766,621.81 = 766,621.81 : x
  2. Step 2: Convert to fraction form
    366,561.70/766,621.81 = 766,621.81/x
  3. Step 3: Cross multiply
    366,561.70x = 766,621.81 × 766,621.81
  4. Step 4: Simplify right side
    366,561.70x = 587,709,000,406.18
  5. Step 5: Solve for x
    x = 587,709,000,406.18/366,561.70
  6. Step 6: Final answer
    x = 1,603,301.70

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.