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Finding the Third Proportional to 305,341 and 448,888

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Solution

The third proportional to 305,341 and 448,888 is: 659,919.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,341 : 448,888 = 448,888 : x
  2. Step 2: Convert to fraction form
    305,341/448,888 = 448,888/x
  3. Step 3: Cross multiply
    305,341x = 448,888 × 448,888
  4. Step 4: Simplify right side
    305,341x = 201,500,436,544
  5. Step 5: Solve for x
    x = 201,500,436,544/305,341
  6. Step 6: Final answer
    x = 659,919.36

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.