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Finding the Third Proportional to 348,932 and 523,830

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Solution

The third proportional to 348,932 and 523,830 is: 786,393.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    348,932 : 523,830 = 523,830 : x
  2. Step 2: Convert to fraction form
    348,932/523,830 = 523,830/x
  3. Step 3: Cross multiply
    348,932x = 523,830 × 523,830
  4. Step 4: Simplify right side
    348,932x = 274,397,868,900
  5. Step 5: Solve for x
    x = 274,397,868,900/348,932
  6. Step 6: Final answer
    x = 786,393.53

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