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Finding the Third Proportional to 260,076 and 408,084

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Solution

The third proportional to 260,076 and 408,084 is: 640,322.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,076 : 408,084 = 408,084 : x
  2. Step 2: Convert to fraction form
    260,076/408,084 = 408,084/x
  3. Step 3: Cross multiply
    260,076x = 408,084 × 408,084
  4. Step 4: Simplify right side
    260,076x = 166,532,551,056
  5. Step 5: Solve for x
    x = 166,532,551,056/260,076
  6. Step 6: Final answer
    x = 640,322.64

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.