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Finding the Third Proportional to 306,252.75 and 448,993.13

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Solution

The third proportional to 306,252.75 and 448,993.13 is: 658,262.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,252.75 : 448,993.13 = 448,993.13 : x
  2. Step 2: Convert to fraction form
    306,252.75/448,993.13 = 448,993.13/x
  3. Step 3: Cross multiply
    306,252.75x = 448,993.13 × 448,993.13
  4. Step 4: Simplify right side
    306,252.75x = 201,594,826,297.27
  5. Step 5: Solve for x
    x = 201,594,826,297.27/306,252.75
  6. Step 6: Final answer
    x = 658,262.91

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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.