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Finding the Third Proportional to 314,517 and 679,098

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Solution

The third proportional to 314,517 and 679,098 is: 1,466,293.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,517 : 679,098 = 679,098 : x
  2. Step 2: Convert to fraction form
    314,517/679,098 = 679,098/x
  3. Step 3: Cross multiply
    314,517x = 679,098 × 679,098
  4. Step 4: Simplify right side
    314,517x = 461,174,093,604
  5. Step 5: Solve for x
    x = 461,174,093,604/314,517
  6. Step 6: Final answer
    x = 1,466,293.06

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.