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Finding the Third Proportional to 356,892 and 792,516

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Solution

The third proportional to 356,892 and 792,516 is: 1,759,864.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    356,892 : 792,516 = 792,516 : x
  2. Step 2: Convert to fraction form
    356,892/792,516 = 792,516/x
  3. Step 3: Cross multiply
    356,892x = 792,516 × 792,516
  4. Step 4: Simplify right side
    356,892x = 628,081,610,256
  5. Step 5: Solve for x
    x = 628,081,610,256/356,892
  6. Step 6: Final answer
    x = 1,759,864.64

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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.