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Finding the Third Proportional to 375,219.84 and 820,503.84

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Solution

The third proportional to 375,219.84 and 820,503.84 is: 1,794,218.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    375,219.84 : 820,503.84 = 820,503.84 : x
  2. Step 2: Convert to fraction form
    375,219.84/820,503.84 = 820,503.84/x
  3. Step 3: Cross multiply
    375,219.84x = 820,503.84 × 820,503.84
  4. Step 4: Simplify right side
    375,219.84x = 673,226,557,608.52
  5. Step 5: Solve for x
    x = 673,226,557,608.52/375,219.84
  6. Step 6: Final answer
    x = 1,794,218.96

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.