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Finding the Third Proportional to 224,852.06 and 458,736.19

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Solution

The third proportional to 224,852.06 and 458,736.19 is: 935,899.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,852.06 : 458,736.19 = 458,736.19 : x
  2. Step 2: Convert to fraction form
    224,852.06/458,736.19 = 458,736.19/x
  3. Step 3: Cross multiply
    224,852.06x = 458,736.19 × 458,736.19
  4. Step 4: Simplify right side
    224,852.06x = 210,438,889,722.04
  5. Step 5: Solve for x
    x = 210,438,889,722.04/224,852.06
  6. Step 6: Final answer
    x = 935,899.31

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.