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Finding the Third Proportional to 504,580 and 758,976

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Solution

The third proportional to 504,580 and 758,976 is: 1,141,631.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    504,580 : 758,976 = 758,976 : x
  2. Step 2: Convert to fraction form
    504,580/758,976 = 758,976/x
  3. Step 3: Cross multiply
    504,580x = 758,976 × 758,976
  4. Step 4: Simplify right side
    504,580x = 576,044,568,576
  5. Step 5: Solve for x
    x = 576,044,568,576/504,580
  6. Step 6: Final answer
    x = 1,141,631.79

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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.