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Finding the Third Proportional to 437,436 and 675,512

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Solution

The third proportional to 437,436 and 675,512 is: 1,043,161.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    437,436 : 675,512 = 675,512 : x
  2. Step 2: Convert to fraction form
    437,436/675,512 = 675,512/x
  3. Step 3: Cross multiply
    437,436x = 675,512 × 675,512
  4. Step 4: Simplify right side
    437,436x = 456,316,462,144
  5. Step 5: Solve for x
    x = 456,316,462,144/437,436
  6. Step 6: Final answer
    x = 1,043,161.66

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.