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Finding the Third Proportional to 302,013 and 423,324

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Solution

The third proportional to 302,013 and 423,324 is: 593,362.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,013 : 423,324 = 423,324 : x
  2. Step 2: Convert to fraction form
    302,013/423,324 = 423,324/x
  3. Step 3: Cross multiply
    302,013x = 423,324 × 423,324
  4. Step 4: Simplify right side
    302,013x = 179,203,208,976
  5. Step 5: Solve for x
    x = 179,203,208,976/302,013
  6. Step 6: Final answer
    x = 593,362.57

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.