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Finding the Third Proportional to 214,448 and 453,088

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Solution

The third proportional to 214,448 and 453,088 is: 957,289.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,448 : 453,088 = 453,088 : x
  2. Step 2: Convert to fraction form
    214,448/453,088 = 453,088/x
  3. Step 3: Cross multiply
    214,448x = 453,088 × 453,088
  4. Step 4: Simplify right side
    214,448x = 205,288,735,744
  5. Step 5: Solve for x
    x = 205,288,735,744/214,448
  6. Step 6: Final answer
    x = 957,289.11

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.