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Finding the Third Proportional to 302,048 and 423,404

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Solution

The third proportional to 302,048 and 423,404 is: 593,518.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,048 : 423,404 = 423,404 : x
  2. Step 2: Convert to fraction form
    302,048/423,404 = 423,404/x
  3. Step 3: Cross multiply
    302,048x = 423,404 × 423,404
  4. Step 4: Simplify right side
    302,048x = 179,270,947,216
  5. Step 5: Solve for x
    x = 179,270,947,216/302,048
  6. Step 6: Final answer
    x = 593,518.07

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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.