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Finding the Third Proportional to 306,075 and 662,015

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Solution

The third proportional to 306,075 and 662,015 is: 1,431,883.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,075 : 662,015 = 662,015 : x
  2. Step 2: Convert to fraction form
    306,075/662,015 = 662,015/x
  3. Step 3: Cross multiply
    306,075x = 662,015 × 662,015
  4. Step 4: Simplify right side
    306,075x = 438,263,860,225
  5. Step 5: Solve for x
    x = 438,263,860,225/306,075
  6. Step 6: Final answer
    x = 1,431,883.89

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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.