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Finding the Third Proportional to 303,032 and 659,118

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Solution

The third proportional to 303,032 and 659,118 is: 1,433,632.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    303,032 : 659,118 = 659,118 : x
  2. Step 2: Convert to fraction form
    303,032/659,118 = 659,118/x
  3. Step 3: Cross multiply
    303,032x = 659,118 × 659,118
  4. Step 4: Simplify right side
    303,032x = 434,436,537,924
  5. Step 5: Solve for x
    x = 434,436,537,924/303,032
  6. Step 6: Final answer
    x = 1,433,632.55

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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.