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Finding the Third Proportional to 373,766 and 565,108

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Solution

The third proportional to 373,766 and 565,108 is: 854,403.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    373,766 : 565,108 = 565,108 : x
  2. Step 2: Convert to fraction form
    373,766/565,108 = 565,108/x
  3. Step 3: Cross multiply
    373,766x = 565,108 × 565,108
  4. Step 4: Simplify right side
    373,766x = 319,347,051,664
  5. Step 5: Solve for x
    x = 319,347,051,664/373,766
  6. Step 6: Final answer
    x = 854,403.70

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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.