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Finding the Third Proportional to 240,249 and 374,907

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Solution

The third proportional to 240,249 and 374,907 is: 585,039.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    240,249 : 374,907 = 374,907 : x
  2. Step 2: Convert to fraction form
    240,249/374,907 = 374,907/x
  3. Step 3: Cross multiply
    240,249x = 374,907 × 374,907
  4. Step 4: Simplify right side
    240,249x = 140,555,258,649
  5. Step 5: Solve for x
    x = 140,555,258,649/240,249
  6. Step 6: Final answer
    x = 585,039.93

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.