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Finding the Third Proportional to 262,431.75 and 551,295.75

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Solution

The third proportional to 262,431.75 and 551,295.75 is: 1,158,118.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,431.75 : 551,295.75 = 551,295.75 : x
  2. Step 2: Convert to fraction form
    262,431.75/551,295.75 = 551,295.75/x
  3. Step 3: Cross multiply
    262,431.75x = 551,295.75 × 551,295.75
  4. Step 4: Simplify right side
    262,431.75x = 303,927,003,968.06
  5. Step 5: Solve for x
    x = 303,927,003,968.06/262,431.75
  6. Step 6: Final answer
    x = 1,158,118.27

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.