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Finding the Third Proportional to 344,808 and 758,736

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Solution

The third proportional to 344,808 and 758,736 is: 1,669,567.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    344,808 : 758,736 = 758,736 : x
  2. Step 2: Convert to fraction form
    344,808/758,736 = 758,736/x
  3. Step 3: Cross multiply
    344,808x = 758,736 × 758,736
  4. Step 4: Simplify right side
    344,808x = 575,680,317,696
  5. Step 5: Solve for x
    x = 575,680,317,696/344,808
  6. Step 6: Final answer
    x = 1,669,567.75

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.