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Finding the Third Proportional to 322,092 and 707,912

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Solution

The third proportional to 322,092 and 707,912 is: 1,555,889.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,092 : 707,912 = 707,912 : x
  2. Step 2: Convert to fraction form
    322,092/707,912 = 707,912/x
  3. Step 3: Cross multiply
    322,092x = 707,912 × 707,912
  4. Step 4: Simplify right side
    322,092x = 501,139,399,744
  5. Step 5: Solve for x
    x = 501,139,399,744/322,092
  6. Step 6: Final answer
    x = 1,555,889.00

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.