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Finding the Third Proportional to 565,954.88 and 856,222.31

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Solution

The third proportional to 565,954.88 and 856,222.31 is: 1,295,362.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    565,954.88 : 856,222.31 = 856,222.31 : x
  2. Step 2: Convert to fraction form
    565,954.88/856,222.31 = 856,222.31/x
  3. Step 3: Cross multiply
    565,954.88x = 856,222.31 × 856,222.31
  4. Step 4: Simplify right side
    565,954.88x = 733,116,648,422.85
  5. Step 5: Solve for x
    x = 733,116,648,422.85/565,954.88
  6. Step 6: Final answer
    x = 1,295,362.37

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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.