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Finding the Third Proportional to 291,094.88 and 441,566.44

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Solution

The third proportional to 291,094.88 and 441,566.44 is: 669,819.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,094.88 : 441,566.44 = 441,566.44 : x
  2. Step 2: Convert to fraction form
    291,094.88/441,566.44 = 441,566.44/x
  3. Step 3: Cross multiply
    291,094.88x = 441,566.44 × 441,566.44
  4. Step 4: Simplify right side
    291,094.88x = 194,980,918,726.44
  5. Step 5: Solve for x
    x = 194,980,918,726.44/291,094.88
  6. Step 6: Final answer
    x = 669,819.14

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.