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Finding the Third Proportional to 504,569 and 779,162

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Solution

The third proportional to 504,569 and 779,162 is: 1,203,192.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    504,569 : 779,162 = 779,162 : x
  2. Step 2: Convert to fraction form
    504,569/779,162 = 779,162/x
  3. Step 3: Cross multiply
    504,569x = 779,162 × 779,162
  4. Step 4: Simplify right side
    504,569x = 607,093,422,244
  5. Step 5: Solve for x
    x = 607,093,422,244/504,569
  6. Step 6: Final answer
    x = 1,203,192.08

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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.