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Finding the Third Proportional to 262,548 and 398,529.75

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Solution

The third proportional to 262,548 and 398,529.75 is: 604,940.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,548 : 398,529.75 = 398,529.75 : x
  2. Step 2: Convert to fraction form
    262,548/398,529.75 = 398,529.75/x
  3. Step 3: Cross multiply
    262,548x = 398,529.75 × 398,529.75
  4. Step 4: Simplify right side
    262,548x = 158,825,961,635.06
  5. Step 5: Solve for x
    x = 158,825,961,635.06/262,548
  6. Step 6: Final answer
    x = 604,940.66

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.