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Finding the Third Proportional to 319,112 and 691,056

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Solution

The third proportional to 319,112 and 691,056 is: 1,496,522.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,112 : 691,056 = 691,056 : x
  2. Step 2: Convert to fraction form
    319,112/691,056 = 691,056/x
  3. Step 3: Cross multiply
    319,112x = 691,056 × 691,056
  4. Step 4: Simplify right side
    319,112x = 477,558,395,136
  5. Step 5: Solve for x
    x = 477,558,395,136/319,112
  6. Step 6: Final answer
    x = 1,496,522.84

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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.