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Finding the Third Proportional to 262,576.69 and 374,933.81

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Solution

The third proportional to 262,576.69 and 374,933.81 is: 535,368.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,576.69 : 374,933.81 = 374,933.81 : x
  2. Step 2: Convert to fraction form
    262,576.69/374,933.81 = 374,933.81/x
  3. Step 3: Cross multiply
    262,576.69x = 374,933.81 × 374,933.81
  4. Step 4: Simplify right side
    262,576.69x = 140,575,363,755.79
  5. Step 5: Solve for x
    x = 140,575,363,755.79/262,576.69
  6. Step 6: Final answer
    x = 535,368.79

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.