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Finding the Third Proportional to 264,732 and 570,936

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Solution

The third proportional to 264,732 and 570,936 is: 1,231,312.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,732 : 570,936 = 570,936 : x
  2. Step 2: Convert to fraction form
    264,732/570,936 = 570,936/x
  3. Step 3: Cross multiply
    264,732x = 570,936 × 570,936
  4. Step 4: Simplify right side
    264,732x = 325,967,916,096
  5. Step 5: Solve for x
    x = 325,967,916,096/264,732
  6. Step 6: Final answer
    x = 1,231,312.86

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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.