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Finding the Third Proportional to 341,298 and 742,161

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Solution

The third proportional to 341,298 and 742,161 is: 1,613,847.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    341,298 : 742,161 = 742,161 : x
  2. Step 2: Convert to fraction form
    341,298/742,161 = 742,161/x
  3. Step 3: Cross multiply
    341,298x = 742,161 × 742,161
  4. Step 4: Simplify right side
    341,298x = 550,802,949,921
  5. Step 5: Solve for x
    x = 550,802,949,921/341,298
  6. Step 6: Final answer
    x = 1,613,847.58

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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.