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Finding the Third Proportional to 441,496.50 and 679,467

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Solution

The third proportional to 441,496.50 and 679,467 is: 1,045,705.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    441,496.50 : 679,467 = 679,467 : x
  2. Step 2: Convert to fraction form
    441,496.50/679,467 = 679,467/x
  3. Step 3: Cross multiply
    441,496.50x = 679,467 × 679,467
  4. Step 4: Simplify right side
    441,496.50x = 461,675,404,089
  5. Step 5: Solve for x
    x = 461,675,404,089/441,496.50
  6. Step 6: Final answer
    x = 1,045,705.69

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.