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Finding the Third Proportional to 264,336 and 376,821

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Solution

The third proportional to 264,336 and 376,821 is: 537,172.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,336 : 376,821 = 376,821 : x
  2. Step 2: Convert to fraction form
    264,336/376,821 = 376,821/x
  3. Step 3: Cross multiply
    264,336x = 376,821 × 376,821
  4. Step 4: Simplify right side
    264,336x = 141,994,066,041
  5. Step 5: Solve for x
    x = 141,994,066,041/264,336
  6. Step 6: Final answer
    x = 537,172.64

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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.