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Finding the Third Proportional to 303,750 and 703,201.50

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Solution

The third proportional to 303,750 and 703,201.50 is: 1,627,958.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    303,750 : 703,201.50 = 703,201.50 : x
  2. Step 2: Convert to fraction form
    303,750/703,201.50 = 703,201.50/x
  3. Step 3: Cross multiply
    303,750x = 703,201.50 × 703,201.50
  4. Step 4: Simplify right side
    303,750x = 494,492,349,602.25
  5. Step 5: Solve for x
    x = 494,492,349,602.25/303,750
  6. Step 6: Final answer
    x = 1,627,958.35

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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.