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Finding the Third Proportional to 366,582.94 and 766,683.56

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Solution

The third proportional to 366,582.94 and 766,683.56 is: 1,603,467.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    366,582.94 : 766,683.56 = 766,683.56 : x
  2. Step 2: Convert to fraction form
    366,582.94/766,683.56 = 766,683.56/x
  3. Step 3: Cross multiply
    366,582.94x = 766,683.56 × 766,683.56
  4. Step 4: Simplify right side
    366,582.94x = 587,803,685,007.69
  5. Step 5: Solve for x
    x = 587,803,685,007.69/366,582.94
  6. Step 6: Final answer
    x = 1,603,467.11

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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.