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Finding the Third Proportional to 264,337 and 376,822

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Solution

The third proportional to 264,337 and 376,822 is: 537,173.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,337 : 376,822 = 376,822 : x
  2. Step 2: Convert to fraction form
    264,337/376,822 = 376,822/x
  3. Step 3: Cross multiply
    264,337x = 376,822 × 376,822
  4. Step 4: Simplify right side
    264,337x = 141,994,819,684
  5. Step 5: Solve for x
    x = 141,994,819,684/264,337
  6. Step 6: Final answer
    x = 537,173.46

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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.