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Finding the Third Proportional to 263,962 and 424,996

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Solution

The third proportional to 263,962 and 424,996 is: 684,271.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,962 : 424,996 = 424,996 : x
  2. Step 2: Convert to fraction form
    263,962/424,996 = 424,996/x
  3. Step 3: Cross multiply
    263,962x = 424,996 × 424,996
  4. Step 4: Simplify right side
    263,962x = 180,621,600,016
  5. Step 5: Solve for x
    x = 180,621,600,016/263,962
  6. Step 6: Final answer
    x = 684,271.22

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.