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Finding the Third Proportional to 306,075 and 662,016

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Solution

The third proportional to 306,075 and 662,016 is: 1,431,888.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,075 : 662,016 = 662,016 : x
  2. Step 2: Convert to fraction form
    306,075/662,016 = 662,016/x
  3. Step 3: Cross multiply
    306,075x = 662,016 × 662,016
  4. Step 4: Simplify right side
    306,075x = 438,265,184,256
  5. Step 5: Solve for x
    x = 438,265,184,256/306,075
  6. Step 6: Final answer
    x = 1,431,888.21

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.