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Finding the Third Proportional to 345,124 and 706,975

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Solution

The third proportional to 345,124 and 706,975 is: 1,448,214.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    345,124 : 706,975 = 706,975 : x
  2. Step 2: Convert to fraction form
    345,124/706,975 = 706,975/x
  3. Step 3: Cross multiply
    345,124x = 706,975 × 706,975
  4. Step 4: Simplify right side
    345,124x = 499,813,650,625
  5. Step 5: Solve for x
    x = 499,813,650,625/345,124
  6. Step 6: Final answer
    x = 1,448,214.70

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Why These Related Problems?

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