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Finding the Third Proportional to 205,014 and 430,761

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Solution

The third proportional to 205,014 and 430,761 is: 905,084.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,014 : 430,761 = 430,761 : x
  2. Step 2: Convert to fraction form
    205,014/430,761 = 430,761/x
  3. Step 3: Cross multiply
    205,014x = 430,761 × 430,761
  4. Step 4: Simplify right side
    205,014x = 185,555,039,121
  5. Step 5: Solve for x
    x = 185,555,039,121/205,014
  6. Step 6: Final answer
    x = 905,084.72

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.