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Finding the Third Proportional to 356,949 and 779,010

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Solution

The third proportional to 356,949 and 779,010 is: 1,700,121.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    356,949 : 779,010 = 779,010 : x
  2. Step 2: Convert to fraction form
    356,949/779,010 = 779,010/x
  3. Step 3: Cross multiply
    356,949x = 779,010 × 779,010
  4. Step 4: Simplify right side
    356,949x = 606,856,580,100
  5. Step 5: Solve for x
    x = 606,856,580,100/356,949
  6. Step 6: Final answer
    x = 1,700,121.25

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.