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Finding the Third Proportional to 302,274 and 659,943

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Solution

The third proportional to 302,274 and 659,943 is: 1,440,827.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,274 : 659,943 = 659,943 : x
  2. Step 2: Convert to fraction form
    302,274/659,943 = 659,943/x
  3. Step 3: Cross multiply
    302,274x = 659,943 × 659,943
  4. Step 4: Simplify right side
    302,274x = 435,524,763,249
  5. Step 5: Solve for x
    x = 435,524,763,249/302,274
  6. Step 6: Final answer
    x = 1,440,827.74

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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.