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Finding the Third Proportional to 468,076.50 and 706,245.75

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Solution

The third proportional to 468,076.50 and 706,245.75 is: 1,065,601.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,076.50 : 706,245.75 = 706,245.75 : x
  2. Step 2: Convert to fraction form
    468,076.50/706,245.75 = 706,245.75/x
  3. Step 3: Cross multiply
    468,076.50x = 706,245.75 × 706,245.75
  4. Step 4: Simplify right side
    468,076.50x = 498,783,059,393.06
  5. Step 5: Solve for x
    x = 498,783,059,393.06/468,076.50
  6. Step 6: Final answer
    x = 1,065,601.58

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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.