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Finding the Third Proportional to 376,848 and 828,072

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Solution

The third proportional to 376,848 and 828,072 is: 1,819,575.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    376,848 : 828,072 = 828,072 : x
  2. Step 2: Convert to fraction form
    376,848/828,072 = 828,072/x
  3. Step 3: Cross multiply
    376,848x = 828,072 × 828,072
  4. Step 4: Simplify right side
    376,848x = 685,703,237,184
  5. Step 5: Solve for x
    x = 685,703,237,184/376,848
  6. Step 6: Final answer
    x = 1,819,575.10

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.