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Finding the Third Proportional to 344,942 and 742,333

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Solution

The third proportional to 344,942 and 742,333 is: 1,597,538.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    344,942 : 742,333 = 742,333 : x
  2. Step 2: Convert to fraction form
    344,942/742,333 = 742,333/x
  3. Step 3: Cross multiply
    344,942x = 742,333 × 742,333
  4. Step 4: Simplify right side
    344,942x = 551,058,282,889
  5. Step 5: Solve for x
    x = 551,058,282,889/344,942
  6. Step 6: Final answer
    x = 1,597,538.96

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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.