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Finding the Third Proportional to 307,683.38 and 664,574.25

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Solution

The third proportional to 307,683.38 and 664,574.25 is: 1,435,433.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,683.38 : 664,574.25 = 664,574.25 : x
  2. Step 2: Convert to fraction form
    307,683.38/664,574.25 = 664,574.25/x
  3. Step 3: Cross multiply
    307,683.38x = 664,574.25 × 664,574.25
  4. Step 4: Simplify right side
    307,683.38x = 441,658,933,763.06
  5. Step 5: Solve for x
    x = 441,658,933,763.06/307,683.38
  6. Step 6: Final answer
    x = 1,435,433.21

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.