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Finding the Third Proportional to 302,292 and 659,016

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Solution

The third proportional to 302,292 and 659,016 is: 1,436,697.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,292 : 659,016 = 659,016 : x
  2. Step 2: Convert to fraction form
    302,292/659,016 = 659,016/x
  3. Step 3: Cross multiply
    302,292x = 659,016 × 659,016
  4. Step 4: Simplify right side
    302,292x = 434,302,088,256
  5. Step 5: Solve for x
    x = 434,302,088,256/302,292
  6. Step 6: Final answer
    x = 1,436,697.26

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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.