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Finding the Third Proportional to 356,886 and 792,502

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Solution

The third proportional to 356,886 and 792,502 is: 1,759,832.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    356,886 : 792,502 = 792,502 : x
  2. Step 2: Convert to fraction form
    356,886/792,502 = 792,502/x
  3. Step 3: Cross multiply
    356,886x = 792,502 × 792,502
  4. Step 4: Simplify right side
    356,886x = 628,059,420,004
  5. Step 5: Solve for x
    x = 628,059,420,004/356,886
  6. Step 6: Final answer
    x = 1,759,832.05

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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.