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Finding the Third Proportional to 302,301 and 659,034

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Solution

The third proportional to 302,301 and 659,034 is: 1,436,732.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,301 : 659,034 = 659,034 : x
  2. Step 2: Convert to fraction form
    302,301/659,034 = 659,034/x
  3. Step 3: Cross multiply
    302,301x = 659,034 × 659,034
  4. Step 4: Simplify right side
    302,301x = 434,325,813,156
  5. Step 5: Solve for x
    x = 434,325,813,156/302,301
  6. Step 6: Final answer
    x = 1,436,732.97

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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.