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Finding the Third Proportional to 504,538 and 779,116

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Solution

The third proportional to 504,538 and 779,116 is: 1,203,123.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    504,538 : 779,116 = 779,116 : x
  2. Step 2: Convert to fraction form
    504,538/779,116 = 779,116/x
  3. Step 3: Cross multiply
    504,538x = 779,116 × 779,116
  4. Step 4: Simplify right side
    504,538x = 607,021,741,456
  5. Step 5: Solve for x
    x = 607,021,741,456/504,538
  6. Step 6: Final answer
    x = 1,203,123.93

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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.