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Finding the Third Proportional to 517,016 and 776,064

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Solution

The third proportional to 517,016 and 776,064 is: 1,164,906.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    517,016 : 776,064 = 776,064 : x
  2. Step 2: Convert to fraction form
    517,016/776,064 = 776,064/x
  3. Step 3: Cross multiply
    517,016x = 776,064 × 776,064
  4. Step 4: Simplify right side
    517,016x = 602,275,332,096
  5. Step 5: Solve for x
    x = 602,275,332,096/517,016
  6. Step 6: Final answer
    x = 1,164,906.56

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.