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Finding the Third Proportional to 351,251.44 and 761,556.94

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Solution

The third proportional to 351,251.44 and 761,556.94 is: 1,651,150.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    351,251.44 : 761,556.94 = 761,556.94 : x
  2. Step 2: Convert to fraction form
    351,251.44/761,556.94 = 761,556.94/x
  3. Step 3: Cross multiply
    351,251.44x = 761,556.94 × 761,556.94
  4. Step 4: Simplify right side
    351,251.44x = 579,968,969,054.38
  5. Step 5: Solve for x
    x = 579,968,969,054.38/351,251.44
  6. Step 6: Final answer
    x = 1,651,150.45

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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.