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Finding the Third Proportional to 322,903.13 and 703,933.88

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Solution

The third proportional to 322,903.13 and 703,933.88 is: 1,534,586.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,903.13 : 703,933.88 = 703,933.88 : x
  2. Step 2: Convert to fraction form
    322,903.13/703,933.88 = 703,933.88/x
  3. Step 3: Cross multiply
    322,903.13x = 703,933.88 × 703,933.88
  4. Step 4: Simplify right side
    322,903.13x = 495,522,900,372.52
  5. Step 5: Solve for x
    x = 495,522,900,372.52/322,903.13
  6. Step 6: Final answer
    x = 1,534,586.88

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.