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Finding the Third Proportional to 264,400 and 376,912

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Solution

The third proportional to 264,400 and 376,912 is: 537,302.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,400 : 376,912 = 376,912 : x
  2. Step 2: Convert to fraction form
    264,400/376,912 = 376,912/x
  3. Step 3: Cross multiply
    264,400x = 376,912 × 376,912
  4. Step 4: Simplify right side
    264,400x = 142,062,655,744
  5. Step 5: Solve for x
    x = 142,062,655,744/264,400
  6. Step 6: Final answer
    x = 537,302.03

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.