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Finding the Third Proportional to 260,284 and 568,304

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Solution

The third proportional to 260,284 and 568,304 is: 1,240,834.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,284 : 568,304 = 568,304 : x
  2. Step 2: Convert to fraction form
    260,284/568,304 = 568,304/x
  3. Step 3: Cross multiply
    260,284x = 568,304 × 568,304
  4. Step 4: Simplify right side
    260,284x = 322,969,436,416
  5. Step 5: Solve for x
    x = 322,969,436,416/260,284
  6. Step 6: Final answer
    x = 1,240,834.77

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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.