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Finding the Third Proportional to 322,967.25 and 701,915.63

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Solution

The third proportional to 322,967.25 and 701,915.63 is: 1,525,496.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,967.25 : 701,915.63 = 701,915.63 : x
  2. Step 2: Convert to fraction form
    322,967.25/701,915.63 = 701,915.63/x
  3. Step 3: Cross multiply
    322,967.25x = 701,915.63 × 701,915.63
  4. Step 4: Simplify right side
    322,967.25x = 492,685,544,619.14
  5. Step 5: Solve for x
    x = 492,685,544,619.14/322,967.25
  6. Step 6: Final answer
    x = 1,525,496.92

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.