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Finding the Third Proportional to 523,840 and 775,936

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Solution

The third proportional to 523,840 and 775,936 is: 1,149,352.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    523,840 : 775,936 = 775,936 : x
  2. Step 2: Convert to fraction form
    523,840/775,936 = 775,936/x
  3. Step 3: Cross multiply
    523,840x = 775,936 × 775,936
  4. Step 4: Simplify right side
    523,840x = 602,076,676,096
  5. Step 5: Solve for x
    x = 602,076,676,096/523,840
  6. Step 6: Final answer
    x = 1,149,352.24

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.