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Finding the Third Proportional to 302,922 and 475,233

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Solution

The third proportional to 302,922 and 475,233 is: 745,559.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,922 : 475,233 = 475,233 : x
  2. Step 2: Convert to fraction form
    302,922/475,233 = 475,233/x
  3. Step 3: Cross multiply
    302,922x = 475,233 × 475,233
  4. Step 4: Simplify right side
    302,922x = 225,846,404,289
  5. Step 5: Solve for x
    x = 225,846,404,289/302,922
  6. Step 6: Final answer
    x = 745,559.60

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.