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Finding the Third Proportional to 303,790.50 and 654,327

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Solution

The third proportional to 303,790.50 and 654,327 is: 1,409,339.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    303,790.50 : 654,327 = 654,327 : x
  2. Step 2: Convert to fraction form
    303,790.50/654,327 = 654,327/x
  3. Step 3: Cross multiply
    303,790.50x = 654,327 × 654,327
  4. Step 4: Simplify right side
    303,790.50x = 428,143,822,929
  5. Step 5: Solve for x
    x = 428,143,822,929/303,790.50
  6. Step 6: Final answer
    x = 1,409,339.08

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.