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Finding the Third Proportional to 265,968 and 570,912

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Solution

The third proportional to 265,968 and 570,912 is: 1,225,487.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,968 : 570,912 = 570,912 : x
  2. Step 2: Convert to fraction form
    265,968/570,912 = 570,912/x
  3. Step 3: Cross multiply
    265,968x = 570,912 × 570,912
  4. Step 4: Simplify right side
    265,968x = 325,940,511,744
  5. Step 5: Solve for x
    x = 325,940,511,744/265,968
  6. Step 6: Final answer
    x = 1,225,487.70

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.