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Finding the Third Proportional to 505,062 and 766,098

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Solution

The third proportional to 505,062 and 766,098 is: 1,162,047.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    505,062 : 766,098 = 766,098 : x
  2. Step 2: Convert to fraction form
    505,062/766,098 = 766,098/x
  3. Step 3: Cross multiply
    505,062x = 766,098 × 766,098
  4. Step 4: Simplify right side
    505,062x = 586,906,145,604
  5. Step 5: Solve for x
    x = 586,906,145,604/505,062
  6. Step 6: Final answer
    x = 1,162,047.72

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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.