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Finding the Third Proportional to 301,514 and 443,278

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Solution

The third proportional to 301,514 and 443,278 is: 651,695.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,514 : 443,278 = 443,278 : x
  2. Step 2: Convert to fraction form
    301,514/443,278 = 443,278/x
  3. Step 3: Cross multiply
    301,514x = 443,278 × 443,278
  4. Step 4: Simplify right side
    301,514x = 196,495,385,284
  5. Step 5: Solve for x
    x = 196,495,385,284/301,514
  6. Step 6: Final answer
    x = 651,695.73

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.