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Finding the Third Proportional to 341,776 and 734,144

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Solution

The third proportional to 341,776 and 734,144 is: 1,576,960.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    341,776 : 734,144 = 734,144 : x
  2. Step 2: Convert to fraction form
    341,776/734,144 = 734,144/x
  3. Step 3: Cross multiply
    341,776x = 734,144 × 734,144
  4. Step 4: Simplify right side
    341,776x = 538,967,412,736
  5. Step 5: Solve for x
    x = 538,967,412,736/341,776
  6. Step 6: Final answer
    x = 1,576,960.97

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.