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Finding the Third Proportional to 317,361 and 463,884

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Solution

The third proportional to 317,361 and 463,884 is: 678,055.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    317,361 : 463,884 = 463,884 : x
  2. Step 2: Convert to fraction form
    317,361/463,884 = 463,884/x
  3. Step 3: Cross multiply
    317,361x = 463,884 × 463,884
  4. Step 4: Simplify right side
    317,361x = 215,188,365,456
  5. Step 5: Solve for x
    x = 215,188,365,456/317,361
  6. Step 6: Final answer
    x = 678,055.48

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.