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Finding the Third Proportional to 543,016.50 and 813,477

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Solution

The third proportional to 543,016.50 and 813,477 is: 1,218,645.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    543,016.50 : 813,477 = 813,477 : x
  2. Step 2: Convert to fraction form
    543,016.50/813,477 = 813,477/x
  3. Step 3: Cross multiply
    543,016.50x = 813,477 × 813,477
  4. Step 4: Simplify right side
    543,016.50x = 661,744,829,529
  5. Step 5: Solve for x
    x = 661,744,829,529/543,016.50
  6. Step 6: Final answer
    x = 1,218,645.90

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.