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Finding the Third Proportional to 224,364 and 490,976

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Solution

The third proportional to 224,364 and 490,976 is: 1,074,403.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,364 : 490,976 = 490,976 : x
  2. Step 2: Convert to fraction form
    224,364/490,976 = 490,976/x
  3. Step 3: Cross multiply
    224,364x = 490,976 × 490,976
  4. Step 4: Simplify right side
    224,364x = 241,057,432,576
  5. Step 5: Solve for x
    x = 241,057,432,576/224,364
  6. Step 6: Final answer
    x = 1,074,403.35

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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.