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Finding the Third Proportional to 228,014 and 498,880

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Solution

The third proportional to 228,014 and 498,880 is: 1,091,517.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,014 : 498,880 = 498,880 : x
  2. Step 2: Convert to fraction form
    228,014/498,880 = 498,880/x
  3. Step 3: Cross multiply
    228,014x = 498,880 × 498,880
  4. Step 4: Simplify right side
    228,014x = 248,881,254,400
  5. Step 5: Solve for x
    x = 248,881,254,400/228,014
  6. Step 6: Final answer
    x = 1,091,517.43

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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.