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Finding the Third Proportional to 341,566 and 742,194

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Solution

The third proportional to 341,566 and 742,194 is: 1,612,724.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    341,566 : 742,194 = 742,194 : x
  2. Step 2: Convert to fraction form
    341,566/742,194 = 742,194/x
  3. Step 3: Cross multiply
    341,566x = 742,194 × 742,194
  4. Step 4: Simplify right side
    341,566x = 550,851,933,636
  5. Step 5: Solve for x
    x = 550,851,933,636/341,566
  6. Step 6: Final answer
    x = 1,612,724.73

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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.