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Finding the Third Proportional to 327,064 and 705,740

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Solution

The third proportional to 327,064 and 705,740 is: 1,522,848.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    327,064 : 705,740 = 705,740 : x
  2. Step 2: Convert to fraction form
    327,064/705,740 = 705,740/x
  3. Step 3: Cross multiply
    327,064x = 705,740 × 705,740
  4. Step 4: Simplify right side
    327,064x = 498,068,947,600
  5. Step 5: Solve for x
    x = 498,068,947,600/327,064
  6. Step 6: Final answer
    x = 1,522,848.58

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.