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Finding the Third Proportional to 373,864 and 565,256

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Solution

The third proportional to 373,864 and 565,256 is: 854,627.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    373,864 : 565,256 = 565,256 : x
  2. Step 2: Convert to fraction form
    373,864/565,256 = 565,256/x
  3. Step 3: Cross multiply
    373,864x = 565,256 × 565,256
  4. Step 4: Simplify right side
    373,864x = 319,514,345,536
  5. Step 5: Solve for x
    x = 319,514,345,536/373,864
  6. Step 6: Final answer
    x = 854,627.21

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.