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Finding the Third Proportional to 579,744 and 866,951

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Solution

The third proportional to 579,744 and 866,951 is: 1,296,441.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    579,744 : 866,951 = 866,951 : x
  2. Step 2: Convert to fraction form
    579,744/866,951 = 866,951/x
  3. Step 3: Cross multiply
    579,744x = 866,951 × 866,951
  4. Step 4: Simplify right side
    579,744x = 751,604,036,401
  5. Step 5: Solve for x
    x = 751,604,036,401/579,744
  6. Step 6: Final answer
    x = 1,296,441.25

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.