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Finding the Third Proportional to 357,289 and 568,734

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Solution

The third proportional to 357,289 and 568,734 is: 905,312.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,289 : 568,734 = 568,734 : x
  2. Step 2: Convert to fraction form
    357,289/568,734 = 568,734/x
  3. Step 3: Cross multiply
    357,289x = 568,734 × 568,734
  4. Step 4: Simplify right side
    357,289x = 323,458,362,756
  5. Step 5: Solve for x
    x = 323,458,362,756/357,289
  6. Step 6: Final answer
    x = 905,312.96

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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.