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Finding the Third Proportional to 463,478 and 737,515

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Solution

The third proportional to 463,478 and 737,515 is: 1,173,579.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,478 : 737,515 = 737,515 : x
  2. Step 2: Convert to fraction form
    463,478/737,515 = 737,515/x
  3. Step 3: Cross multiply
    463,478x = 737,515 × 737,515
  4. Step 4: Simplify right side
    463,478x = 543,928,375,225
  5. Step 5: Solve for x
    x = 543,928,375,225/463,478
  6. Step 6: Final answer
    x = 1,173,579.71

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.