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Finding the Third Proportional to 496,576 and 727,683

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Solution

The third proportional to 496,576 and 727,683 is: 1,066,347.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    496,576 : 727,683 = 727,683 : x
  2. Step 2: Convert to fraction form
    496,576/727,683 = 727,683/x
  3. Step 3: Cross multiply
    496,576x = 727,683 × 727,683
  4. Step 4: Simplify right side
    496,576x = 529,522,548,489
  5. Step 5: Solve for x
    x = 529,522,548,489/496,576
  6. Step 6: Final answer
    x = 1,066,347.44

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.