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Finding the Third Proportional to 376,036.50 and 820,671

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Solution

The third proportional to 376,036.50 and 820,671 is: 1,791,051.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    376,036.50 : 820,671 = 820,671 : x
  2. Step 2: Convert to fraction form
    376,036.50/820,671 = 820,671/x
  3. Step 3: Cross multiply
    376,036.50x = 820,671 × 820,671
  4. Step 4: Simplify right side
    376,036.50x = 673,500,890,241
  5. Step 5: Solve for x
    x = 673,500,890,241/376,036.50
  6. Step 6: Final answer
    x = 1,791,051.91

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.