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Finding the Third Proportional to 354,884 and 536,024

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Solution

The third proportional to 354,884 and 536,024 is: 809,621.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,884 : 536,024 = 536,024 : x
  2. Step 2: Convert to fraction form
    354,884/536,024 = 536,024/x
  3. Step 3: Cross multiply
    354,884x = 536,024 × 536,024
  4. Step 4: Simplify right side
    354,884x = 287,321,728,576
  5. Step 5: Solve for x
    x = 287,321,728,576/354,884
  6. Step 6: Final answer
    x = 809,621.53

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.