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Finding the Third Proportional to 567,954 and 862,299

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Solution

The third proportional to 567,954 and 862,299 is: 1,309,189.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    567,954 : 862,299 = 862,299 : x
  2. Step 2: Convert to fraction form
    567,954/862,299 = 862,299/x
  3. Step 3: Cross multiply
    567,954x = 862,299 × 862,299
  4. Step 4: Simplify right side
    567,954x = 743,559,565,401
  5. Step 5: Solve for x
    x = 743,559,565,401/567,954
  6. Step 6: Final answer
    x = 1,309,189.77

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.