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Finding the Third Proportional to 264,333 and 376,816

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Solution

The third proportional to 264,333 and 376,816 is: 537,164.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,333 : 376,816 = 376,816 : x
  2. Step 2: Convert to fraction form
    264,333/376,816 = 376,816/x
  3. Step 3: Cross multiply
    264,333x = 376,816 × 376,816
  4. Step 4: Simplify right side
    264,333x = 141,990,297,856
  5. Step 5: Solve for x
    x = 141,990,297,856/264,333
  6. Step 6: Final answer
    x = 537,164.48

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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.