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Finding the Third Proportional to 314,845 and 679,442

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Solution

The third proportional to 314,845 and 679,442 is: 1,466,249.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,845 : 679,442 = 679,442 : x
  2. Step 2: Convert to fraction form
    314,845/679,442 = 679,442/x
  3. Step 3: Cross multiply
    314,845x = 679,442 × 679,442
  4. Step 4: Simplify right side
    314,845x = 461,641,431,364
  5. Step 5: Solve for x
    x = 461,641,431,364/314,845
  6. Step 6: Final answer
    x = 1,466,249.84

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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.