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Finding the Third Proportional to 336,492 and 719,676

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Solution

The third proportional to 336,492 and 719,676 is: 1,539,215.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    336,492 : 719,676 = 719,676 : x
  2. Step 2: Convert to fraction form
    336,492/719,676 = 719,676/x
  3. Step 3: Cross multiply
    336,492x = 719,676 × 719,676
  4. Step 4: Simplify right side
    336,492x = 517,933,544,976
  5. Step 5: Solve for x
    x = 517,933,544,976/336,492
  6. Step 6: Final answer
    x = 1,539,215.03

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.