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Finding the Third Proportional to 347,832 and 496,232.25

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Solution

The third proportional to 347,832 and 496,232.25 is: 707,946.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    347,832 : 496,232.25 = 496,232.25 : x
  2. Step 2: Convert to fraction form
    347,832/496,232.25 = 496,232.25/x
  3. Step 3: Cross multiply
    347,832x = 496,232.25 × 496,232.25
  4. Step 4: Simplify right side
    347,832x = 246,246,445,940.06
  5. Step 5: Solve for x
    x = 246,246,445,940.06/347,832
  6. Step 6: Final answer
    x = 707,946.50

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.