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Finding the Third Proportional to 357,292 and 568,738

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Solution

The third proportional to 357,292 and 568,738 is: 905,318.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,292 : 568,738 = 568,738 : x
  2. Step 2: Convert to fraction form
    357,292/568,738 = 568,738/x
  3. Step 3: Cross multiply
    357,292x = 568,738 × 568,738
  4. Step 4: Simplify right side
    357,292x = 323,462,912,644
  5. Step 5: Solve for x
    x = 323,462,912,644/357,292
  6. Step 6: Final answer
    x = 905,318.09

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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.