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Finding the Third Proportional to 264,335 and 376,819

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Solution

The third proportional to 264,335 and 376,819 is: 537,168.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,335 : 376,819 = 376,819 : x
  2. Step 2: Convert to fraction form
    264,335/376,819 = 376,819/x
  3. Step 3: Cross multiply
    264,335x = 376,819 × 376,819
  4. Step 4: Simplify right side
    264,335x = 141,992,558,761
  5. Step 5: Solve for x
    x = 141,992,558,761/264,335
  6. Step 6: Final answer
    x = 537,168.97

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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.