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Finding the Third Proportional to 446,243 and 679,829

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Solution

The third proportional to 446,243 and 679,829 is: 1,035,685.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    446,243 : 679,829 = 679,829 : x
  2. Step 2: Convert to fraction form
    446,243/679,829 = 679,829/x
  3. Step 3: Cross multiply
    446,243x = 679,829 × 679,829
  4. Step 4: Simplify right side
    446,243x = 462,167,469,241
  5. Step 5: Solve for x
    x = 462,167,469,241/446,243
  6. Step 6: Final answer
    x = 1,035,685.64

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.