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Finding the Third Proportional to 340,836 and 738,085

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Solution

The third proportional to 340,836 and 738,085 is: 1,598,333.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,836 : 738,085 = 738,085 : x
  2. Step 2: Convert to fraction form
    340,836/738,085 = 738,085/x
  3. Step 3: Cross multiply
    340,836x = 738,085 × 738,085
  4. Step 4: Simplify right side
    340,836x = 544,769,467,225
  5. Step 5: Solve for x
    x = 544,769,467,225/340,836
  6. Step 6: Final answer
    x = 1,598,333.12

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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.