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Finding the Third Proportional to 344,934 and 742,317

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Solution

The third proportional to 344,934 and 742,317 is: 1,597,507.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    344,934 : 742,317 = 742,317 : x
  2. Step 2: Convert to fraction form
    344,934/742,317 = 742,317/x
  3. Step 3: Cross multiply
    344,934x = 742,317 × 742,317
  4. Step 4: Simplify right side
    344,934x = 551,034,528,489
  5. Step 5: Solve for x
    x = 551,034,528,489/344,934
  6. Step 6: Final answer
    x = 1,597,507.14

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.