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Finding the Third Proportional to 499,598 and 761,847

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Solution

The third proportional to 499,598 and 761,847 is: 1,161,755.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    499,598 : 761,847 = 761,847 : x
  2. Step 2: Convert to fraction form
    499,598/761,847 = 761,847/x
  3. Step 3: Cross multiply
    499,598x = 761,847 × 761,847
  4. Step 4: Simplify right side
    499,598x = 580,410,851,409
  5. Step 5: Solve for x
    x = 580,410,851,409/499,598
  6. Step 6: Final answer
    x = 1,161,755.75

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.