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Finding the Third Proportional to 416,180.75 and 623,131.50

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Solution

The third proportional to 416,180.75 and 623,131.50 is: 932,990.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,180.75 : 623,131.50 = 623,131.50 : x
  2. Step 2: Convert to fraction form
    416,180.75/623,131.50 = 623,131.50/x
  3. Step 3: Cross multiply
    416,180.75x = 623,131.50 × 623,131.50
  4. Step 4: Simplify right side
    416,180.75x = 388,292,866,292.25
  5. Step 5: Solve for x
    x = 388,292,866,292.25/416,180.75
  6. Step 6: Final answer
    x = 932,990.93

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.