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Finding the Third Proportional to 314,436 and 682,032

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Solution

The third proportional to 314,436 and 682,032 is: 1,479,371.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,436 : 682,032 = 682,032 : x
  2. Step 2: Convert to fraction form
    314,436/682,032 = 682,032/x
  3. Step 3: Cross multiply
    314,436x = 682,032 × 682,032
  4. Step 4: Simplify right side
    314,436x = 465,167,649,024
  5. Step 5: Solve for x
    x = 465,167,649,024/314,436
  6. Step 6: Final answer
    x = 1,479,371.47

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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.