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Finding the Third Proportional to 416,674.50 and 589,979.25

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Solution

The third proportional to 416,674.50 and 589,979.25 is: 835,365.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,674.50 : 589,979.25 = 589,979.25 : x
  2. Step 2: Convert to fraction form
    416,674.50/589,979.25 = 589,979.25/x
  3. Step 3: Cross multiply
    416,674.50x = 589,979.25 × 589,979.25
  4. Step 4: Simplify right side
    416,674.50x = 348,075,515,430.56
  5. Step 5: Solve for x
    x = 348,075,515,430.56/416,674.50
  6. Step 6: Final answer
    x = 835,365.53

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.