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Finding the Third Proportional to 238,274 and 476,524

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Solution

The third proportional to 238,274 and 476,524 is: 953,000.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    238,274 : 476,524 = 476,524 : x
  2. Step 2: Convert to fraction form
    238,274/476,524 = 476,524/x
  3. Step 3: Cross multiply
    238,274x = 476,524 × 476,524
  4. Step 4: Simplify right side
    238,274x = 227,075,122,576
  5. Step 5: Solve for x
    x = 227,075,122,576/238,274
  6. Step 6: Final answer
    x = 953,000.00

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Why These Related Problems?

These problems maintain the same ratio (2.00) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.