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Finding the Third Proportional to 306,463.50 and 649,786.50

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Solution

The third proportional to 306,463.50 and 649,786.50 is: 1,377,725.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,463.50 : 649,786.50 = 649,786.50 : x
  2. Step 2: Convert to fraction form
    306,463.50/649,786.50 = 649,786.50/x
  3. Step 3: Cross multiply
    306,463.50x = 649,786.50 × 649,786.50
  4. Step 4: Simplify right side
    306,463.50x = 422,222,495,582.25
  5. Step 5: Solve for x
    x = 422,222,495,582.25/306,463.50
  6. Step 6: Final answer
    x = 1,377,725.23

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.