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Finding the Third Proportional to 499,092 and 767,916

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Solution

The third proportional to 499,092 and 767,916 is: 1,181,535.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    499,092 : 767,916 = 767,916 : x
  2. Step 2: Convert to fraction form
    499,092/767,916 = 767,916/x
  3. Step 3: Cross multiply
    499,092x = 767,916 × 767,916
  4. Step 4: Simplify right side
    499,092x = 589,694,983,056
  5. Step 5: Solve for x
    x = 589,694,983,056/499,092
  6. Step 6: Final answer
    x = 1,181,535.63

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.