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Finding the Third Proportional to 370,660 and 807,848

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Solution

The third proportional to 370,660 and 807,848 is: 1,760,692.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    370,660 : 807,848 = 807,848 : x
  2. Step 2: Convert to fraction form
    370,660/807,848 = 807,848/x
  3. Step 3: Cross multiply
    370,660x = 807,848 × 807,848
  4. Step 4: Simplify right side
    370,660x = 652,618,391,104
  5. Step 5: Solve for x
    x = 652,618,391,104/370,660
  6. Step 6: Final answer
    x = 1,760,692.79

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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.