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Finding the Third Proportional to 303,517.13 and 655,664.63

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Solution

The third proportional to 303,517.13 and 655,664.63 is: 1,416,381.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    303,517.13 : 655,664.63 = 655,664.63 : x
  2. Step 2: Convert to fraction form
    303,517.13/655,664.63 = 655,664.63/x
  3. Step 3: Cross multiply
    303,517.13x = 655,664.63 × 655,664.63
  4. Step 4: Simplify right side
    303,517.13x = 429,896,100,476.39
  5. Step 5: Solve for x
    x = 429,896,100,476.39/303,517.13
  6. Step 6: Final answer
    x = 1,416,381.70

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.