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Finding the Third Proportional to 341,272 and 742,741

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Solution

The third proportional to 341,272 and 742,741 is: 1,616,494.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    341,272 : 742,741 = 742,741 : x
  2. Step 2: Convert to fraction form
    341,272/742,741 = 742,741/x
  3. Step 3: Cross multiply
    341,272x = 742,741 × 742,741
  4. Step 4: Simplify right side
    341,272x = 551,664,193,081
  5. Step 5: Solve for x
    x = 551,664,193,081/341,272
  6. Step 6: Final answer
    x = 1,616,494.15

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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.