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Finding the Third Proportional to 251,214 and 568,095

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Solution

The third proportional to 251,214 and 568,095 is: 1,284,689.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    251,214 : 568,095 = 568,095 : x
  2. Step 2: Convert to fraction form
    251,214/568,095 = 568,095/x
  3. Step 3: Cross multiply
    251,214x = 568,095 × 568,095
  4. Step 4: Simplify right side
    251,214x = 322,731,929,025
  5. Step 5: Solve for x
    x = 322,731,929,025/251,214
  6. Step 6: Final answer
    x = 1,284,689.27

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Why These Related Problems?

These problems maintain the same ratio (2.26) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.