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Finding the Third Proportional to 356,896 and 792,524

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Solution

The third proportional to 356,896 and 792,524 is: 1,759,880.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    356,896 : 792,524 = 792,524 : x
  2. Step 2: Convert to fraction form
    356,896/792,524 = 792,524/x
  3. Step 3: Cross multiply
    356,896x = 792,524 × 792,524
  4. Step 4: Simplify right side
    356,896x = 628,094,290,576
  5. Step 5: Solve for x
    x = 628,094,290,576/356,896
  6. Step 6: Final answer
    x = 1,759,880.44

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.