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Finding the Third Proportional to 285,032 and 605,043

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Solution

The third proportional to 285,032 and 605,043 is: 1,284,336.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,032 : 605,043 = 605,043 : x
  2. Step 2: Convert to fraction form
    285,032/605,043 = 605,043/x
  3. Step 3: Cross multiply
    285,032x = 605,043 × 605,043
  4. Step 4: Simplify right side
    285,032x = 366,077,031,849
  5. Step 5: Solve for x
    x = 366,077,031,849/285,032
  6. Step 6: Final answer
    x = 1,284,336.61

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.