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Finding the Third Proportional to 340,026 and 741,102

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Solution

The third proportional to 340,026 and 741,102 is: 1,615,265.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,026 : 741,102 = 741,102 : x
  2. Step 2: Convert to fraction form
    340,026/741,102 = 741,102/x
  3. Step 3: Cross multiply
    340,026x = 741,102 × 741,102
  4. Step 4: Simplify right side
    340,026x = 549,232,174,404
  5. Step 5: Solve for x
    x = 549,232,174,404/340,026
  6. Step 6: Final answer
    x = 1,615,265.23

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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.