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Finding the Third Proportional to 373,768 and 565,111

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Solution

The third proportional to 373,768 and 565,111 is: 854,408.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    373,768 : 565,111 = 565,111 : x
  2. Step 2: Convert to fraction form
    373,768/565,111 = 565,111/x
  3. Step 3: Cross multiply
    373,768x = 565,111 × 565,111
  4. Step 4: Simplify right side
    373,768x = 319,350,442,321
  5. Step 5: Solve for x
    x = 319,350,442,321/373,768
  6. Step 6: Final answer
    x = 854,408.20

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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.