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Finding the Third Proportional to 305,747 and 463,245

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Solution

The third proportional to 305,747 and 463,245 is: 701,874.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,747 : 463,245 = 463,245 : x
  2. Step 2: Convert to fraction form
    305,747/463,245 = 463,245/x
  3. Step 3: Cross multiply
    305,747x = 463,245 × 463,245
  4. Step 4: Simplify right side
    305,747x = 214,595,930,025
  5. Step 5: Solve for x
    x = 214,595,930,025/305,747
  6. Step 6: Final answer
    x = 701,874.20

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.