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Finding the Third Proportional to 233,280 and 481,281.75

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Solution

The third proportional to 233,280 and 481,281.75 is: 992,936.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,280 : 481,281.75 = 481,281.75 : x
  2. Step 2: Convert to fraction form
    233,280/481,281.75 = 481,281.75/x
  3. Step 3: Cross multiply
    233,280x = 481,281.75 × 481,281.75
  4. Step 4: Simplify right side
    233,280x = 231,632,122,883.06
  5. Step 5: Solve for x
    x = 231,632,122,883.06/233,280
  6. Step 6: Final answer
    x = 992,936.05

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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.