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Finding the Third Proportional to 416,092.50 and 609,324.75

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Solution

The third proportional to 416,092.50 and 609,324.75 is: 892,293.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,092.50 : 609,324.75 = 609,324.75 : x
  2. Step 2: Convert to fraction form
    416,092.50/609,324.75 = 609,324.75/x
  3. Step 3: Cross multiply
    416,092.50x = 609,324.75 × 609,324.75
  4. Step 4: Simplify right side
    416,092.50x = 371,276,650,962.56
  5. Step 5: Solve for x
    x = 371,276,650,962.56/416,092.50
  6. Step 6: Final answer
    x = 892,293.54

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.