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Finding the Third Proportional to 323,683.50 and 490,022.25

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Solution

The third proportional to 323,683.50 and 490,022.25 is: 741,841.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    323,683.50 : 490,022.25 = 490,022.25 : x
  2. Step 2: Convert to fraction form
    323,683.50/490,022.25 = 490,022.25/x
  3. Step 3: Cross multiply
    323,683.50x = 490,022.25 × 490,022.25
  4. Step 4: Simplify right side
    323,683.50x = 240,121,805,495.06
  5. Step 5: Solve for x
    x = 240,121,805,495.06/323,683.50
  6. Step 6: Final answer
    x = 741,841.35

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.