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Finding the Third Proportional to 350,298 and 541,849.50

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Solution

The third proportional to 350,298 and 541,849.50 is: 838,146.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    350,298 : 541,849.50 = 541,849.50 : x
  2. Step 2: Convert to fraction form
    350,298/541,849.50 = 541,849.50/x
  3. Step 3: Cross multiply
    350,298x = 541,849.50 × 541,849.50
  4. Step 4: Simplify right side
    350,298x = 293,600,880,650.25
  5. Step 5: Solve for x
    x = 293,600,880,650.25/350,298
  6. Step 6: Final answer
    x = 838,146.04

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.