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Finding the Third Proportional to 263,088 and 576,153

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Solution

The third proportional to 263,088 and 576,153 is: 1,261,753.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,088 : 576,153 = 576,153 : x
  2. Step 2: Convert to fraction form
    263,088/576,153 = 576,153/x
  3. Step 3: Cross multiply
    263,088x = 576,153 × 576,153
  4. Step 4: Simplify right side
    263,088x = 331,952,279,409
  5. Step 5: Solve for x
    x = 331,952,279,409/263,088
  6. Step 6: Final answer
    x = 1,261,753.78

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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.