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Finding the Third Proportional to 405,958.50 and 567,555

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Solution

The third proportional to 405,958.50 and 567,555 is: 793,476.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,958.50 : 567,555 = 567,555 : x
  2. Step 2: Convert to fraction form
    405,958.50/567,555 = 567,555/x
  3. Step 3: Cross multiply
    405,958.50x = 567,555 × 567,555
  4. Step 4: Simplify right side
    405,958.50x = 322,118,678,025
  5. Step 5: Solve for x
    x = 322,118,678,025/405,958.50
  6. Step 6: Final answer
    x = 793,476.87

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.