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Finding the Third Proportional to 405,956 and 567,551

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Solution

The third proportional to 405,956 and 567,551 is: 793,470.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,956 : 567,551 = 567,551 : x
  2. Step 2: Convert to fraction form
    405,956/567,551 = 567,551/x
  3. Step 3: Cross multiply
    405,956x = 567,551 × 567,551
  4. Step 4: Simplify right side
    405,956x = 322,114,137,601
  5. Step 5: Solve for x
    x = 322,114,137,601/405,956
  6. Step 6: Final answer
    x = 793,470.57

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Why These Related Problems?

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