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Finding the Third Proportional to 499,589 and 761,898

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Solution

The third proportional to 499,589 and 761,898 is: 1,161,932.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    499,589 : 761,898 = 761,898 : x
  2. Step 2: Convert to fraction form
    499,589/761,898 = 761,898/x
  3. Step 3: Cross multiply
    499,589x = 761,898 × 761,898
  4. Step 4: Simplify right side
    499,589x = 580,488,562,404
  5. Step 5: Solve for x
    x = 580,488,562,404/499,589
  6. Step 6: Final answer
    x = 1,161,932.23

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.