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Finding the Third Proportional to 345,869 and 757,350

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Solution

The third proportional to 345,869 and 757,350 is: 1,658,370.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    345,869 : 757,350 = 757,350 : x
  2. Step 2: Convert to fraction form
    345,869/757,350 = 757,350/x
  3. Step 3: Cross multiply
    345,869x = 757,350 × 757,350
  4. Step 4: Simplify right side
    345,869x = 573,579,022,500
  5. Step 5: Solve for x
    x = 573,579,022,500/345,869
  6. Step 6: Final answer
    x = 1,658,370.72

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.