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Finding the Third Proportional to 354,421.50 and 534,171

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Solution

The third proportional to 354,421.50 and 534,171 is: 805,082.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,421.50 : 534,171 = 534,171 : x
  2. Step 2: Convert to fraction form
    354,421.50/534,171 = 534,171/x
  3. Step 3: Cross multiply
    354,421.50x = 534,171 × 534,171
  4. Step 4: Simplify right side
    354,421.50x = 285,338,657,241
  5. Step 5: Solve for x
    x = 285,338,657,241/354,421.50
  6. Step 6: Final answer
    x = 805,082.81

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.