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Finding the Third Proportional to 432,947 and 679,162

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Solution

The third proportional to 432,947 and 679,162 is: 1,065,398.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    432,947 : 679,162 = 679,162 : x
  2. Step 2: Convert to fraction form
    432,947/679,162 = 679,162/x
  3. Step 3: Cross multiply
    432,947x = 679,162 × 679,162
  4. Step 4: Simplify right side
    432,947x = 461,261,022,244
  5. Step 5: Solve for x
    x = 461,261,022,244/432,947
  6. Step 6: Final answer
    x = 1,065,398.36

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.