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Finding the Third Proportional to 344,298 and 742,980

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Solution

The third proportional to 344,298 and 742,980 is: 1,603,318.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    344,298 : 742,980 = 742,980 : x
  2. Step 2: Convert to fraction form
    344,298/742,980 = 742,980/x
  3. Step 3: Cross multiply
    344,298x = 742,980 × 742,980
  4. Step 4: Simplify right side
    344,298x = 552,019,280,400
  5. Step 5: Solve for x
    x = 552,019,280,400/344,298
  6. Step 6: Final answer
    x = 1,603,318.29

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.