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Finding the Third Proportional to 435,492 and 666,199

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Solution

The third proportional to 435,492 and 666,199 is: 1,019,125.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    435,492 : 666,199 = 666,199 : x
  2. Step 2: Convert to fraction form
    435,492/666,199 = 666,199/x
  3. Step 3: Cross multiply
    435,492x = 666,199 × 666,199
  4. Step 4: Simplify right side
    435,492x = 443,821,107,601
  5. Step 5: Solve for x
    x = 443,821,107,601/435,492
  6. Step 6: Final answer
    x = 1,019,125.74

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.