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Finding the Third Proportional to 569,110.50 and 857,418.75

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Solution

The third proportional to 569,110.50 and 857,418.75 is: 1,291,782.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    569,110.50 : 857,418.75 = 857,418.75 : x
  2. Step 2: Convert to fraction form
    569,110.50/857,418.75 = 857,418.75/x
  3. Step 3: Cross multiply
    569,110.50x = 857,418.75 × 857,418.75
  4. Step 4: Simplify right side
    569,110.50x = 735,166,912,851.56
  5. Step 5: Solve for x
    x = 735,166,912,851.56/569,110.50
  6. Step 6: Final answer
    x = 1,291,782.37

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.