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Finding the Third Proportional to 337,596.75 and 522,569.25

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Solution

The third proportional to 337,596.75 and 522,569.25 is: 808,889.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    337,596.75 : 522,569.25 = 522,569.25 : x
  2. Step 2: Convert to fraction form
    337,596.75/522,569.25 = 522,569.25/x
  3. Step 3: Cross multiply
    337,596.75x = 522,569.25 × 522,569.25
  4. Step 4: Simplify right side
    337,596.75x = 273,078,621,045.56
  5. Step 5: Solve for x
    x = 273,078,621,045.56/337,596.75
  6. Step 6: Final answer
    x = 808,889.96

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.