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Finding the Third Proportional to 340,029 and 741,108

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Solution

The third proportional to 340,029 and 741,108 is: 1,615,277.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,029 : 741,108 = 741,108 : x
  2. Step 2: Convert to fraction form
    340,029/741,108 = 741,108/x
  3. Step 3: Cross multiply
    340,029x = 741,108 × 741,108
  4. Step 4: Simplify right side
    340,029x = 549,241,067,664
  5. Step 5: Solve for x
    x = 549,241,067,664/340,029
  6. Step 6: Final answer
    x = 1,615,277.13

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.