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Finding the Third Proportional to 386,035.88 and 556,910.44

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Solution

The third proportional to 386,035.88 and 556,910.44 is: 803,420.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    386,035.88 : 556,910.44 = 556,910.44 : x
  2. Step 2: Convert to fraction form
    386,035.88/556,910.44 = 556,910.44/x
  3. Step 3: Cross multiply
    386,035.88x = 556,910.44 × 556,910.44
  4. Step 4: Simplify right side
    386,035.88x = 310,149,235,396.44
  5. Step 5: Solve for x
    x = 310,149,235,396.44/386,035.88
  6. Step 6: Final answer
    x = 803,420.76

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.