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Finding the Third Proportional to 322,275 and 701,898

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Solution

The third proportional to 322,275 and 701,898 is: 1,528,696.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,275 : 701,898 = 701,898 : x
  2. Step 2: Convert to fraction form
    322,275/701,898 = 701,898/x
  3. Step 3: Cross multiply
    322,275x = 701,898 × 701,898
  4. Step 4: Simplify right side
    322,275x = 492,660,802,404
  5. Step 5: Solve for x
    x = 492,660,802,404/322,275
  6. Step 6: Final answer
    x = 1,528,696.93

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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.