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Finding the Third Proportional to 264,384 and 378,888

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Solution

The third proportional to 264,384 and 378,888 is: 542,983.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,384 : 378,888 = 378,888 : x
  2. Step 2: Convert to fraction form
    264,384/378,888 = 378,888/x
  3. Step 3: Cross multiply
    264,384x = 378,888 × 378,888
  4. Step 4: Simplify right side
    264,384x = 143,556,116,544
  5. Step 5: Solve for x
    x = 143,556,116,544/264,384
  6. Step 6: Final answer
    x = 542,983.37

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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.