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Finding the Third Proportional to 600,968.25 and 929,295

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Solution

The third proportional to 600,968.25 and 929,295 is: 1,436,996.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    600,968.25 : 929,295 = 929,295 : x
  2. Step 2: Convert to fraction form
    600,968.25/929,295 = 929,295/x
  3. Step 3: Cross multiply
    600,968.25x = 929,295 × 929,295
  4. Step 4: Simplify right side
    600,968.25x = 863,589,197,025
  5. Step 5: Solve for x
    x = 863,589,197,025/600,968.25
  6. Step 6: Final answer
    x = 1,436,996.38

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.