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Finding the Third Proportional to 338,671.13 and 524,682.56

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Solution

The third proportional to 338,671.13 and 524,682.56 is: 812,858.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,671.13 : 524,682.56 = 524,682.56 : x
  2. Step 2: Convert to fraction form
    338,671.13/524,682.56 = 524,682.56/x
  3. Step 3: Cross multiply
    338,671.13x = 524,682.56 × 524,682.56
  4. Step 4: Simplify right side
    338,671.13x = 275,291,791,391.57
  5. Step 5: Solve for x
    x = 275,291,791,391.57/338,671.13
  6. Step 6: Final answer
    x = 812,858.76

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.