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Finding the Third Proportional to 310,631 and 679,419

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Solution

The third proportional to 310,631 and 679,419 is: 1,486,040.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,631 : 679,419 = 679,419 : x
  2. Step 2: Convert to fraction form
    310,631/679,419 = 679,419/x
  3. Step 3: Cross multiply
    310,631x = 679,419 × 679,419
  4. Step 4: Simplify right side
    310,631x = 461,610,177,561
  5. Step 5: Solve for x
    x = 461,610,177,561/310,631
  6. Step 6: Final answer
    x = 1,486,040.28

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.