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Finding the Third Proportional to 224,170 and 492,079

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Solution

The third proportional to 224,170 and 492,079 is: 1,080,170.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,170 : 492,079 = 492,079 : x
  2. Step 2: Convert to fraction form
    224,170/492,079 = 492,079/x
  3. Step 3: Cross multiply
    224,170x = 492,079 × 492,079
  4. Step 4: Simplify right side
    224,170x = 242,141,742,241
  5. Step 5: Solve for x
    x = 242,141,742,241/224,170
  6. Step 6: Final answer
    x = 1,080,170.15

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.