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Finding the Third Proportional to 371,652 and 791,256

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Solution

The third proportional to 371,652 and 791,256 is: 1,684,602.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    371,652 : 791,256 = 791,256 : x
  2. Step 2: Convert to fraction form
    371,652/791,256 = 791,256/x
  3. Step 3: Cross multiply
    371,652x = 791,256 × 791,256
  4. Step 4: Simplify right side
    371,652x = 626,086,057,536
  5. Step 5: Solve for x
    x = 626,086,057,536/371,652
  6. Step 6: Final answer
    x = 1,684,602.96

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.