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Finding the Third Proportional to 233,257.50 and 508,718.25

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Solution

The third proportional to 233,257.50 and 508,718.25 is: 1,109,478.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,257.50 : 508,718.25 = 508,718.25 : x
  2. Step 2: Convert to fraction form
    233,257.50/508,718.25 = 508,718.25/x
  3. Step 3: Cross multiply
    233,257.50x = 508,718.25 × 508,718.25
  4. Step 4: Simplify right side
    233,257.50x = 258,794,257,883.06
  5. Step 5: Solve for x
    x = 258,794,257,883.06/233,257.50
  6. Step 6: Final answer
    x = 1,109,478.83

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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.