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Finding the Third Proportional to 310,833 and 481,422

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Solution

The third proportional to 310,833 and 481,422 is: 745,632.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,833 : 481,422 = 481,422 : x
  2. Step 2: Convert to fraction form
    310,833/481,422 = 481,422/x
  3. Step 3: Cross multiply
    310,833x = 481,422 × 481,422
  4. Step 4: Simplify right side
    310,833x = 231,767,142,084
  5. Step 5: Solve for x
    x = 231,767,142,084/310,833
  6. Step 6: Final answer
    x = 745,632.36

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.