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Finding the Third Proportional to 381,766.50 and 829,926

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Solution

The third proportional to 381,766.50 and 829,926 is: 1,804,184.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,766.50 : 829,926 = 829,926 : x
  2. Step 2: Convert to fraction form
    381,766.50/829,926 = 829,926/x
  3. Step 3: Cross multiply
    381,766.50x = 829,926 × 829,926
  4. Step 4: Simplify right side
    381,766.50x = 688,777,165,476
  5. Step 5: Solve for x
    x = 688,777,165,476/381,766.50
  6. Step 6: Final answer
    x = 1,804,184.40

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.