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Finding the Third Proportional to 303,708 and 659,842.50

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Solution

The third proportional to 303,708 and 659,842.50 is: 1,433,587.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    303,708 : 659,842.50 = 659,842.50 : x
  2. Step 2: Convert to fraction form
    303,708/659,842.50 = 659,842.50/x
  3. Step 3: Cross multiply
    303,708x = 659,842.50 × 659,842.50
  4. Step 4: Simplify right side
    303,708x = 435,392,124,806.25
  5. Step 5: Solve for x
    x = 435,392,124,806.25/303,708
  6. Step 6: Final answer
    x = 1,433,587.94

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.