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Finding the Third Proportional to 345,112 and 706,956

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Solution

The third proportional to 345,112 and 706,956 is: 1,448,187.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    345,112 : 706,956 = 706,956 : x
  2. Step 2: Convert to fraction form
    345,112/706,956 = 706,956/x
  3. Step 3: Cross multiply
    345,112x = 706,956 × 706,956
  4. Step 4: Simplify right side
    345,112x = 499,786,785,936
  5. Step 5: Solve for x
    x = 499,786,785,936/345,112
  6. Step 6: Final answer
    x = 1,448,187.21

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These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.