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Finding the Third Proportional to 303,930 and 703,543.50

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Solution

The third proportional to 303,930 and 703,543.50 is: 1,628,577.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    303,930 : 703,543.50 = 703,543.50 : x
  2. Step 2: Convert to fraction form
    303,930/703,543.50 = 703,543.50/x
  3. Step 3: Cross multiply
    303,930x = 703,543.50 × 703,543.50
  4. Step 4: Simplify right side
    303,930x = 494,973,456,392.25
  5. Step 5: Solve for x
    x = 494,973,456,392.25/303,930
  6. Step 6: Final answer
    x = 1,628,577.16

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These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.