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Finding the Third Proportional to 344,655 and 496,408.50

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Solution

The third proportional to 344,655 and 496,408.50 is: 714,979.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    344,655 : 496,408.50 = 496,408.50 : x
  2. Step 2: Convert to fraction form
    344,655/496,408.50 = 496,408.50/x
  3. Step 3: Cross multiply
    344,655x = 496,408.50 × 496,408.50
  4. Step 4: Simplify right side
    344,655x = 246,421,398,872.25
  5. Step 5: Solve for x
    x = 246,421,398,872.25/344,655
  6. Step 6: Final answer
    x = 714,979.90

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.