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Finding the Third Proportional to 262,586.81 and 416,846.25

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Solution

The third proportional to 262,586.81 and 416,846.25 is: 661,727.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,586.81 : 416,846.25 = 416,846.25 : x
  2. Step 2: Convert to fraction form
    262,586.81/416,846.25 = 416,846.25/x
  3. Step 3: Cross multiply
    262,586.81x = 416,846.25 × 416,846.25
  4. Step 4: Simplify right side
    262,586.81x = 173,760,796,139.06
  5. Step 5: Solve for x
    x = 173,760,796,139.06/262,586.81
  6. Step 6: Final answer
    x = 661,727.05

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.