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Finding the Third Proportional to 310,648 and 679,452

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Solution

The third proportional to 310,648 and 679,452 is: 1,486,103.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,648 : 679,452 = 679,452 : x
  2. Step 2: Convert to fraction form
    310,648/679,452 = 679,452/x
  3. Step 3: Cross multiply
    310,648x = 679,452 × 679,452
  4. Step 4: Simplify right side
    310,648x = 461,655,020,304
  5. Step 5: Solve for x
    x = 461,655,020,304/310,648
  6. Step 6: Final answer
    x = 1,486,103.31

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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.