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Finding the Third Proportional to 344,698 and 744,736

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Solution

The third proportional to 344,698 and 744,736 is: 1,609,036.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    344,698 : 744,736 = 744,736 : x
  2. Step 2: Convert to fraction form
    344,698/744,736 = 744,736/x
  3. Step 3: Cross multiply
    344,698x = 744,736 × 744,736
  4. Step 4: Simplify right side
    344,698x = 554,631,709,696
  5. Step 5: Solve for x
    x = 554,631,709,696/344,698
  6. Step 6: Final answer
    x = 1,609,036.63

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.