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Finding the Third Proportional to 468,483.75 and 701,439.75

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Solution

The third proportional to 468,483.75 and 701,439.75 is: 1,050,234.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,483.75 : 701,439.75 = 701,439.75 : x
  2. Step 2: Convert to fraction form
    468,483.75/701,439.75 = 701,439.75/x
  3. Step 3: Cross multiply
    468,483.75x = 701,439.75 × 701,439.75
  4. Step 4: Simplify right side
    468,483.75x = 492,017,722,880.06
  5. Step 5: Solve for x
    x = 492,017,722,880.06/468,483.75
  6. Step 6: Final answer
    x = 1,050,234.34

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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.