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Finding the Third Proportional to 329,158.69 and 516,483.84

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Solution

The third proportional to 329,158.69 and 516,483.84 is: 810,416.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,158.69 : 516,483.84 = 516,483.84 : x
  2. Step 2: Convert to fraction form
    329,158.69/516,483.84 = 516,483.84/x
  3. Step 3: Cross multiply
    329,158.69x = 516,483.84 × 516,483.84
  4. Step 4: Simplify right side
    329,158.69x = 266,755,560,854.77
  5. Step 5: Solve for x
    x = 266,755,560,854.77/329,158.69
  6. Step 6: Final answer
    x = 810,416.29

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.