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Finding the Third Proportional to 291,492 and 443,286

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Solution

The third proportional to 291,492 and 443,286 is: 674,126.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,492 : 443,286 = 443,286 : x
  2. Step 2: Convert to fraction form
    291,492/443,286 = 443,286/x
  3. Step 3: Cross multiply
    291,492x = 443,286 × 443,286
  4. Step 4: Simplify right side
    291,492x = 196,502,477,796
  5. Step 5: Solve for x
    x = 196,502,477,796/291,492
  6. Step 6: Final answer
    x = 674,126.49

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.