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Finding the Third Proportional to 233,669.25 and 508,344.75

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Solution

The third proportional to 233,669.25 and 508,344.75 is: 1,105,898.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,669.25 : 508,344.75 = 508,344.75 : x
  2. Step 2: Convert to fraction form
    233,669.25/508,344.75 = 508,344.75/x
  3. Step 3: Cross multiply
    233,669.25x = 508,344.75 × 508,344.75
  4. Step 4: Simplify right side
    233,669.25x = 258,414,384,852.56
  5. Step 5: Solve for x
    x = 258,414,384,852.56/233,669.25
  6. Step 6: Final answer
    x = 1,105,898.12

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.