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Finding the Third Proportional to 259,213.50 and 536,422.50

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Solution

The third proportional to 259,213.50 and 536,422.50 is: 1,110,085.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,213.50 : 536,422.50 = 536,422.50 : x
  2. Step 2: Convert to fraction form
    259,213.50/536,422.50 = 536,422.50/x
  3. Step 3: Cross multiply
    259,213.50x = 536,422.50 × 536,422.50
  4. Step 4: Simplify right side
    259,213.50x = 287,749,098,506.25
  5. Step 5: Solve for x
    x = 287,749,098,506.25/259,213.50
  6. Step 6: Final answer
    x = 1,110,085.31

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.