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Finding the Third Proportional to 260,360 and 416,746

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Solution

The third proportional to 260,360 and 416,746 is: 667,065.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,360 : 416,746 = 416,746 : x
  2. Step 2: Convert to fraction form
    260,360/416,746 = 416,746/x
  3. Step 3: Cross multiply
    260,360x = 416,746 × 416,746
  4. Step 4: Simplify right side
    260,360x = 173,677,228,516
  5. Step 5: Solve for x
    x = 173,677,228,516/260,360
  6. Step 6: Final answer
    x = 667,065.71

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.