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Finding the Third Proportional to 214,834.50 and 472,572

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Solution

The third proportional to 214,834.50 and 472,572 is: 1,039,517.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,834.50 : 472,572 = 472,572 : x
  2. Step 2: Convert to fraction form
    214,834.50/472,572 = 472,572/x
  3. Step 3: Cross multiply
    214,834.50x = 472,572 × 472,572
  4. Step 4: Simplify right side
    214,834.50x = 223,324,295,184
  5. Step 5: Solve for x
    x = 223,324,295,184/214,834.50
  6. Step 6: Final answer
    x = 1,039,517.84

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.