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Finding the Third Proportional to 322,276 and 701,899

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Solution

The third proportional to 322,276 and 701,899 is: 1,528,696.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,276 : 701,899 = 701,899 : x
  2. Step 2: Convert to fraction form
    322,276/701,899 = 701,899/x
  3. Step 3: Cross multiply
    322,276x = 701,899 × 701,899
  4. Step 4: Simplify right side
    322,276x = 492,662,206,201
  5. Step 5: Solve for x
    x = 492,662,206,201/322,276
  6. Step 6: Final answer
    x = 1,528,696.54

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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.