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Finding the Third Proportional to 224,080 and 490,116

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Solution

The third proportional to 224,080 and 490,116 is: 1,071,999.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,080 : 490,116 = 490,116 : x
  2. Step 2: Convert to fraction form
    224,080/490,116 = 490,116/x
  3. Step 3: Cross multiply
    224,080x = 490,116 × 490,116
  4. Step 4: Simplify right side
    224,080x = 240,213,693,456
  5. Step 5: Solve for x
    x = 240,213,693,456/224,080
  6. Step 6: Final answer
    x = 1,071,999.70

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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.