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Finding the Third Proportional to 263,608.50 and 567,266.63

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Solution

The third proportional to 263,608.50 and 567,266.63 is: 1,220,717.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,608.50 : 567,266.63 = 567,266.63 : x
  2. Step 2: Convert to fraction form
    263,608.50/567,266.63 = 567,266.63/x
  3. Step 3: Cross multiply
    263,608.50x = 567,266.63 × 567,266.63
  4. Step 4: Simplify right side
    263,608.50x = 321,791,423,838.89
  5. Step 5: Solve for x
    x = 321,791,423,838.89/263,608.50
  6. Step 6: Final answer
    x = 1,220,717.18

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.