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Finding the Third Proportional to 344,961 and 742,383

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Solution

The third proportional to 344,961 and 742,383 is: 1,597,666.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    344,961 : 742,383 = 742,383 : x
  2. Step 2: Convert to fraction form
    344,961/742,383 = 742,383/x
  3. Step 3: Cross multiply
    344,961x = 742,383 × 742,383
  4. Step 4: Simplify right side
    344,961x = 551,132,518,689
  5. Step 5: Solve for x
    x = 551,132,518,689/344,961
  6. Step 6: Final answer
    x = 1,597,666.17

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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.