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Finding the Third Proportional to 476,244 and 738,036

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Solution

The third proportional to 476,244 and 738,036 is: 1,143,735.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    476,244 : 738,036 = 738,036 : x
  2. Step 2: Convert to fraction form
    476,244/738,036 = 738,036/x
  3. Step 3: Cross multiply
    476,244x = 738,036 × 738,036
  4. Step 4: Simplify right side
    476,244x = 544,697,137,296
  5. Step 5: Solve for x
    x = 544,697,137,296/476,244
  6. Step 6: Final answer
    x = 1,143,735.43

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.