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Finding the Third Proportional to 416,712.25 and 622,324.50

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Solution

The third proportional to 416,712.25 and 622,324.50 is: 929,389.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,712.25 : 622,324.50 = 622,324.50 : x
  2. Step 2: Convert to fraction form
    416,712.25/622,324.50 = 622,324.50/x
  3. Step 3: Cross multiply
    416,712.25x = 622,324.50 × 622,324.50
  4. Step 4: Simplify right side
    416,712.25x = 387,287,783,300.25
  5. Step 5: Solve for x
    x = 387,287,783,300.25/416,712.25
  6. Step 6: Final answer
    x = 929,389.00

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.