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Finding the Third Proportional to 281,186.44 and 609,094.69

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Solution

The third proportional to 281,186.44 and 609,094.69 is: 1,319,396.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,186.44 : 609,094.69 = 609,094.69 : x
  2. Step 2: Convert to fraction form
    281,186.44/609,094.69 = 609,094.69/x
  3. Step 3: Cross multiply
    281,186.44x = 609,094.69 × 609,094.69
  4. Step 4: Simplify right side
    281,186.44x = 370,996,338,340.72
  5. Step 5: Solve for x
    x = 370,996,338,340.72/281,186.44
  6. Step 6: Final answer
    x = 1,319,396.28

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.