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Finding the Third Proportional to 298,941 and 453,947

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Solution

The third proportional to 298,941 and 453,947 is: 689,326.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,941 : 453,947 = 453,947 : x
  2. Step 2: Convert to fraction form
    298,941/453,947 = 453,947/x
  3. Step 3: Cross multiply
    298,941x = 453,947 × 453,947
  4. Step 4: Simplify right side
    298,941x = 206,067,878,809
  5. Step 5: Solve for x
    x = 206,067,878,809/298,941
  6. Step 6: Final answer
    x = 689,326.25

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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.