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Finding the Third Proportional to 260,358 and 568,236

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Solution

The third proportional to 260,358 and 568,236 is: 1,240,185.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,358 : 568,236 = 568,236 : x
  2. Step 2: Convert to fraction form
    260,358/568,236 = 568,236/x
  3. Step 3: Cross multiply
    260,358x = 568,236 × 568,236
  4. Step 4: Simplify right side
    260,358x = 322,892,151,696
  5. Step 5: Solve for x
    x = 322,892,151,696/260,358
  6. Step 6: Final answer
    x = 1,240,185.25

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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.