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Finding the Third Proportional to 305,379 and 461,416.50

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Solution

The third proportional to 305,379 and 461,416.50 is: 697,183.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,379 : 461,416.50 = 461,416.50 : x
  2. Step 2: Convert to fraction form
    305,379/461,416.50 = 461,416.50/x
  3. Step 3: Cross multiply
    305,379x = 461,416.50 × 461,416.50
  4. Step 4: Simplify right side
    305,379x = 212,905,186,472.25
  5. Step 5: Solve for x
    x = 212,905,186,472.25/305,379
  6. Step 6: Final answer
    x = 697,183.46

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.