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Finding the Third Proportional to 302,823 and 470,223

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Solution

The third proportional to 302,823 and 470,223 is: 730,161.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,823 : 470,223 = 470,223 : x
  2. Step 2: Convert to fraction form
    302,823/470,223 = 470,223/x
  3. Step 3: Cross multiply
    302,823x = 470,223 × 470,223
  4. Step 4: Simplify right side
    302,823x = 221,109,669,729
  5. Step 5: Solve for x
    x = 221,109,669,729/302,823
  6. Step 6: Final answer
    x = 730,161.41

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.