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Finding the Third Proportional to 240,504 and 462,576

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Solution

The third proportional to 240,504 and 462,576 is: 889,700.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    240,504 : 462,576 = 462,576 : x
  2. Step 2: Convert to fraction form
    240,504/462,576 = 462,576/x
  3. Step 3: Cross multiply
    240,504x = 462,576 × 462,576
  4. Step 4: Simplify right side
    240,504x = 213,976,555,776
  5. Step 5: Solve for x
    x = 213,976,555,776/240,504
  6. Step 6: Final answer
    x = 889,700.61

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Why These Related Problems?

These problems maintain the same ratio (1.92) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.