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Finding the Third Proportional to 266,075 and 421,244

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Solution

The third proportional to 266,075 and 421,244 is: 666,904.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    266,075 : 421,244 = 421,244 : x
  2. Step 2: Convert to fraction form
    266,075/421,244 = 421,244/x
  3. Step 3: Cross multiply
    266,075x = 421,244 × 421,244
  4. Step 4: Simplify right side
    266,075x = 177,446,507,536
  5. Step 5: Solve for x
    x = 177,446,507,536/266,075
  6. Step 6: Final answer
    x = 666,904.10

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.