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Finding the Third Proportional to 477,986 and 733,691

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Solution

The third proportional to 477,986 and 733,691 is: 1,126,188.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    477,986 : 733,691 = 733,691 : x
  2. Step 2: Convert to fraction form
    477,986/733,691 = 733,691/x
  3. Step 3: Cross multiply
    477,986x = 733,691 × 733,691
  4. Step 4: Simplify right side
    477,986x = 538,302,483,481
  5. Step 5: Solve for x
    x = 538,302,483,481/477,986
  6. Step 6: Final answer
    x = 1,126,188.81

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.