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Finding the Third Proportional to 264,532 and 570,879

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Solution

The third proportional to 264,532 and 570,879 is: 1,231,997.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,532 : 570,879 = 570,879 : x
  2. Step 2: Convert to fraction form
    264,532/570,879 = 570,879/x
  3. Step 3: Cross multiply
    264,532x = 570,879 × 570,879
  4. Step 4: Simplify right side
    264,532x = 325,902,832,641
  5. Step 5: Solve for x
    x = 325,902,832,641/264,532
  6. Step 6: Final answer
    x = 1,231,997.76

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.