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Finding the Third Proportional to 341,269 and 742,736

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Solution

The third proportional to 341,269 and 742,736 is: 1,616,486.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    341,269 : 742,736 = 742,736 : x
  2. Step 2: Convert to fraction form
    341,269/742,736 = 742,736/x
  3. Step 3: Cross multiply
    341,269x = 742,736 × 742,736
  4. Step 4: Simplify right side
    341,269x = 551,656,765,696
  5. Step 5: Solve for x
    x = 551,656,765,696/341,269
  6. Step 6: Final answer
    x = 1,616,486.60

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.