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Finding the Third Proportional to 341,540 and 742,144

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Solution

The third proportional to 341,540 and 742,144 is: 1,612,630.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    341,540 : 742,144 = 742,144 : x
  2. Step 2: Convert to fraction form
    341,540/742,144 = 742,144/x
  3. Step 3: Cross multiply
    341,540x = 742,144 × 742,144
  4. Step 4: Simplify right side
    341,540x = 550,777,716,736
  5. Step 5: Solve for x
    x = 550,777,716,736/341,540
  6. Step 6: Final answer
    x = 1,612,630.19

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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.