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Finding the Third Proportional to 452,264.50 and 703,294.75

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Solution

The third proportional to 452,264.50 and 703,294.75 is: 1,093,659.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    452,264.50 : 703,294.75 = 703,294.75 : x
  2. Step 2: Convert to fraction form
    452,264.50/703,294.75 = 703,294.75/x
  3. Step 3: Cross multiply
    452,264.50x = 703,294.75 × 703,294.75
  4. Step 4: Simplify right side
    452,264.50x = 494,623,505,377.56
  5. Step 5: Solve for x
    x = 494,623,505,377.56/452,264.50
  6. Step 6: Final answer
    x = 1,093,659.81

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.