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Finding the Third Proportional to 344,072 and 701,968

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Solution

The third proportional to 344,072 and 701,968 is: 1,432,139.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    344,072 : 701,968 = 701,968 : x
  2. Step 2: Convert to fraction form
    344,072/701,968 = 701,968/x
  3. Step 3: Cross multiply
    344,072x = 701,968 × 701,968
  4. Step 4: Simplify right side
    344,072x = 492,759,073,024
  5. Step 5: Solve for x
    x = 492,759,073,024/344,072
  6. Step 6: Final answer
    x = 1,432,139.42

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.