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Finding the Third Proportional to 264,282 and 376,740

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Solution

The third proportional to 264,282 and 376,740 is: 537,051.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,282 : 376,740 = 376,740 : x
  2. Step 2: Convert to fraction form
    264,282/376,740 = 376,740/x
  3. Step 3: Cross multiply
    264,282x = 376,740 × 376,740
  4. Step 4: Simplify right side
    264,282x = 141,933,027,600
  5. Step 5: Solve for x
    x = 141,933,027,600/264,282
  6. Step 6: Final answer
    x = 537,051.44

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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.