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Finding the Third Proportional to 233,271 and 481,263.75

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Solution

The third proportional to 233,271 and 481,263.75 is: 992,900.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,271 : 481,263.75 = 481,263.75 : x
  2. Step 2: Convert to fraction form
    233,271/481,263.75 = 481,263.75/x
  3. Step 3: Cross multiply
    233,271x = 481,263.75 × 481,263.75
  4. Step 4: Simplify right side
    233,271x = 231,614,797,064.06
  5. Step 5: Solve for x
    x = 231,614,797,064.06/233,271
  6. Step 6: Final answer
    x = 992,900.09

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.