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Finding the Third Proportional to 348,757.50 and 493,629

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Solution

The third proportional to 348,757.50 and 493,629 is: 698,679.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    348,757.50 : 493,629 = 493,629 : x
  2. Step 2: Convert to fraction form
    348,757.50/493,629 = 493,629/x
  3. Step 3: Cross multiply
    348,757.50x = 493,629 × 493,629
  4. Step 4: Simplify right side
    348,757.50x = 243,669,589,641
  5. Step 5: Solve for x
    x = 243,669,589,641/348,757.50
  6. Step 6: Final answer
    x = 698,679.14

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.