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Finding the Third Proportional to 416,665.50 and 589,965.75

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Solution

The third proportional to 416,665.50 and 589,965.75 is: 835,345.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,665.50 : 589,965.75 = 589,965.75 : x
  2. Step 2: Convert to fraction form
    416,665.50/589,965.75 = 589,965.75/x
  3. Step 3: Cross multiply
    416,665.50x = 589,965.75 × 589,965.75
  4. Step 4: Simplify right side
    416,665.50x = 348,059,586,173.06
  5. Step 5: Solve for x
    x = 348,059,586,173.06/416,665.50
  6. Step 6: Final answer
    x = 835,345.35

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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.