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Finding the Third Proportional to 303,777.50 and 703,269

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Solution

The third proportional to 303,777.50 and 703,269 is: 1,628,123.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    303,777.50 : 703,269 = 703,269 : x
  2. Step 2: Convert to fraction form
    303,777.50/703,269 = 703,269/x
  3. Step 3: Cross multiply
    303,777.50x = 703,269 × 703,269
  4. Step 4: Simplify right side
    303,777.50x = 494,587,286,361
  5. Step 5: Solve for x
    x = 494,587,286,361/303,777.50
  6. Step 6: Final answer
    x = 1,628,123.50

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.