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Finding the Third Proportional to 264,077 and 570,243

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Solution

The third proportional to 264,077 and 570,243 is: 1,231,372.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,077 : 570,243 = 570,243 : x
  2. Step 2: Convert to fraction form
    264,077/570,243 = 570,243/x
  3. Step 3: Cross multiply
    264,077x = 570,243 × 570,243
  4. Step 4: Simplify right side
    264,077x = 325,177,079,049
  5. Step 5: Solve for x
    x = 325,177,079,049/264,077
  6. Step 6: Final answer
    x = 1,231,372.21

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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.