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Finding the Third Proportional to 343,122 and 743,492

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Solution

The third proportional to 343,122 and 743,492 is: 1,611,031.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,122 : 743,492 = 743,492 : x
  2. Step 2: Convert to fraction form
    343,122/743,492 = 743,492/x
  3. Step 3: Cross multiply
    343,122x = 743,492 × 743,492
  4. Step 4: Simplify right side
    343,122x = 552,780,354,064
  5. Step 5: Solve for x
    x = 552,780,354,064/343,122
  6. Step 6: Final answer
    x = 1,611,031.51

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.