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Finding the Third Proportional to 373,436 and 565,790

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Solution

The third proportional to 373,436 and 565,790 is: 857,224.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    373,436 : 565,790 = 565,790 : x
  2. Step 2: Convert to fraction form
    373,436/565,790 = 565,790/x
  3. Step 3: Cross multiply
    373,436x = 565,790 × 565,790
  4. Step 4: Simplify right side
    373,436x = 320,118,324,100
  5. Step 5: Solve for x
    x = 320,118,324,100/373,436
  6. Step 6: Final answer
    x = 857,224.06

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.