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Finding the Third Proportional to 365,924 and 800,968

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Solution

The third proportional to 365,924 and 800,968 is: 1,753,232.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    365,924 : 800,968 = 800,968 : x
  2. Step 2: Convert to fraction form
    365,924/800,968 = 800,968/x
  3. Step 3: Cross multiply
    365,924x = 800,968 × 800,968
  4. Step 4: Simplify right side
    365,924x = 641,549,737,024
  5. Step 5: Solve for x
    x = 641,549,737,024/365,924
  6. Step 6: Final answer
    x = 1,753,232.19

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.