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Finding the Third Proportional to 302,930 and 475,242

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Solution

The third proportional to 302,930 and 475,242 is: 745,568.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,930 : 475,242 = 475,242 : x
  2. Step 2: Convert to fraction form
    302,930/475,242 = 475,242/x
  3. Step 3: Cross multiply
    302,930x = 475,242 × 475,242
  4. Step 4: Simplify right side
    302,930x = 225,854,958,564
  5. Step 5: Solve for x
    x = 225,854,958,564/302,930
  6. Step 6: Final answer
    x = 745,568.15

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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.