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Finding the Third Proportional to 600,032 and 843,904

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Solution

The third proportional to 600,032 and 843,904 is: 1,186,893.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    600,032 : 843,904 = 843,904 : x
  2. Step 2: Convert to fraction form
    600,032/843,904 = 843,904/x
  3. Step 3: Cross multiply
    600,032x = 843,904 × 843,904
  4. Step 4: Simplify right side
    600,032x = 712,173,961,216
  5. Step 5: Solve for x
    x = 712,173,961,216/600,032
  6. Step 6: Final answer
    x = 1,186,893.30

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.