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Finding the Third Proportional to 224,091 and 490,138

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Solution

The third proportional to 224,091 and 490,138 is: 1,072,043.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,091 : 490,138 = 490,138 : x
  2. Step 2: Convert to fraction form
    224,091/490,138 = 490,138/x
  3. Step 3: Cross multiply
    224,091x = 490,138 × 490,138
  4. Step 4: Simplify right side
    224,091x = 240,235,259,044
  5. Step 5: Solve for x
    x = 240,235,259,044/224,091
  6. Step 6: Final answer
    x = 1,072,043.32

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.