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Finding the Third Proportional to 302,992 and 448,656

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Solution

The third proportional to 302,992 and 448,656 is: 664,348.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,992 : 448,656 = 448,656 : x
  2. Step 2: Convert to fraction form
    302,992/448,656 = 448,656/x
  3. Step 3: Cross multiply
    302,992x = 448,656 × 448,656
  4. Step 4: Simplify right side
    302,992x = 201,292,206,336
  5. Step 5: Solve for x
    x = 201,292,206,336/302,992
  6. Step 6: Final answer
    x = 664,348.25

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.