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Finding the Third Proportional to 467,734.50 and 705,834

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Solution

The third proportional to 467,734.50 and 705,834 is: 1,065,137.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    467,734.50 : 705,834 = 705,834 : x
  2. Step 2: Convert to fraction form
    467,734.50/705,834 = 705,834/x
  3. Step 3: Cross multiply
    467,734.50x = 705,834 × 705,834
  4. Step 4: Simplify right side
    467,734.50x = 498,201,635,556
  5. Step 5: Solve for x
    x = 498,201,635,556/467,734.50
  6. Step 6: Final answer
    x = 1,065,137.67

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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.