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Finding the Third Proportional to 270,947 and 416,611

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Solution

The third proportional to 270,947 and 416,611 is: 640,585.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,947 : 416,611 = 416,611 : x
  2. Step 2: Convert to fraction form
    270,947/416,611 = 416,611/x
  3. Step 3: Cross multiply
    270,947x = 416,611 × 416,611
  4. Step 4: Simplify right side
    270,947x = 173,564,725,321
  5. Step 5: Solve for x
    x = 173,564,725,321/270,947
  6. Step 6: Final answer
    x = 640,585.52

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.