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Finding the Third Proportional to 303,672.50 and 703,014.50

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Solution

The third proportional to 303,672.50 and 703,014.50 is: 1,627,507.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    303,672.50 : 703,014.50 = 703,014.50 : x
  2. Step 2: Convert to fraction form
    303,672.50/703,014.50 = 703,014.50/x
  3. Step 3: Cross multiply
    303,672.50x = 703,014.50 × 703,014.50
  4. Step 4: Simplify right side
    303,672.50x = 494,229,387,210.25
  5. Step 5: Solve for x
    x = 494,229,387,210.25/303,672.50
  6. Step 6: Final answer
    x = 1,627,507.88

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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.