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Finding the Third Proportional to 262,884 and 393,880.50

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Solution

The third proportional to 262,884 and 393,880.50 is: 590,153.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,884 : 393,880.50 = 393,880.50 : x
  2. Step 2: Convert to fraction form
    262,884/393,880.50 = 393,880.50/x
  3. Step 3: Cross multiply
    262,884x = 393,880.50 × 393,880.50
  4. Step 4: Simplify right side
    262,884x = 155,141,848,280.25
  5. Step 5: Solve for x
    x = 155,141,848,280.25/262,884
  6. Step 6: Final answer
    x = 590,153.25

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.