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Finding the Third Proportional to 260,360 and 568,240

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Solution

The third proportional to 260,360 and 568,240 is: 1,240,193.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,360 : 568,240 = 568,240 : x
  2. Step 2: Convert to fraction form
    260,360/568,240 = 568,240/x
  3. Step 3: Cross multiply
    260,360x = 568,240 × 568,240
  4. Step 4: Simplify right side
    260,360x = 322,896,697,600
  5. Step 5: Solve for x
    x = 322,896,697,600/260,360
  6. Step 6: Final answer
    x = 1,240,193.18

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.