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Finding the Third Proportional to 303,651.75 and 644,665.50

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Solution

The third proportional to 303,651.75 and 644,665.50 is: 1,368,652.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    303,651.75 : 644,665.50 = 644,665.50 : x
  2. Step 2: Convert to fraction form
    303,651.75/644,665.50 = 644,665.50/x
  3. Step 3: Cross multiply
    303,651.75x = 644,665.50 × 644,665.50
  4. Step 4: Simplify right side
    303,651.75x = 415,593,606,890.25
  5. Step 5: Solve for x
    x = 415,593,606,890.25/303,651.75
  6. Step 6: Final answer
    x = 1,368,652.11

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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.