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Finding the Third Proportional to 350,649 and 496,165.50

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Solution

The third proportional to 350,649 and 496,165.50 is: 702,070.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    350,649 : 496,165.50 = 496,165.50 : x
  2. Step 2: Convert to fraction form
    350,649/496,165.50 = 496,165.50/x
  3. Step 3: Cross multiply
    350,649x = 496,165.50 × 496,165.50
  4. Step 4: Simplify right side
    350,649x = 246,180,203,390.25
  5. Step 5: Solve for x
    x = 246,180,203,390.25/350,649
  6. Step 6: Final answer
    x = 702,070.17

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.