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Finding the Third Proportional to 357,256 and 568,684

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Solution

The third proportional to 357,256 and 568,684 is: 905,237.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,256 : 568,684 = 568,684 : x
  2. Step 2: Convert to fraction form
    357,256/568,684 = 568,684/x
  3. Step 3: Cross multiply
    357,256x = 568,684 × 568,684
  4. Step 4: Simplify right side
    357,256x = 323,401,491,856
  5. Step 5: Solve for x
    x = 323,401,491,856/357,256
  6. Step 6: Final answer
    x = 905,237.40

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.