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Finding the Third Proportional to 370,032 and 873,048

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Solution

The third proportional to 370,032 and 873,048 is: 2,059,856.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    370,032 : 873,048 = 873,048 : x
  2. Step 2: Convert to fraction form
    370,032/873,048 = 873,048/x
  3. Step 3: Cross multiply
    370,032x = 873,048 × 873,048
  4. Step 4: Simplify right side
    370,032x = 762,212,810,304
  5. Step 5: Solve for x
    x = 762,212,810,304/370,032
  6. Step 6: Final answer
    x = 2,059,856.47

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.