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Finding the Third Proportional to 348,914 and 523,803

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Solution

The third proportional to 348,914 and 523,803 is: 786,353.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    348,914 : 523,803 = 523,803 : x
  2. Step 2: Convert to fraction form
    348,914/523,803 = 523,803/x
  3. Step 3: Cross multiply
    348,914x = 523,803 × 523,803
  4. Step 4: Simplify right side
    348,914x = 274,369,582,809
  5. Step 5: Solve for x
    x = 274,369,582,809/348,914
  6. Step 6: Final answer
    x = 786,353.03

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.