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Finding the Third Proportional to 233,007 and 509,625

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Solution

The third proportional to 233,007 and 509,625 is: 1,114,634.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,007 : 509,625 = 509,625 : x
  2. Step 2: Convert to fraction form
    233,007/509,625 = 509,625/x
  3. Step 3: Cross multiply
    233,007x = 509,625 × 509,625
  4. Step 4: Simplify right side
    233,007x = 259,717,640,625
  5. Step 5: Solve for x
    x = 259,717,640,625/233,007
  6. Step 6: Final answer
    x = 1,114,634.50

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.