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Finding the Third Proportional to 302,274 and 658,817

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Solution

The third proportional to 302,274 and 658,817 is: 1,435,915.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,274 : 658,817 = 658,817 : x
  2. Step 2: Convert to fraction form
    302,274/658,817 = 658,817/x
  3. Step 3: Cross multiply
    302,274x = 658,817 × 658,817
  4. Step 4: Simplify right side
    302,274x = 434,039,839,489
  5. Step 5: Solve for x
    x = 434,039,839,489/302,274
  6. Step 6: Final answer
    x = 1,435,915.23

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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.