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Finding the Third Proportional to 340,374 and 743,073

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Solution

The third proportional to 340,374 and 743,073 is: 1,622,208.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,374 : 743,073 = 743,073 : x
  2. Step 2: Convert to fraction form
    340,374/743,073 = 743,073/x
  3. Step 3: Cross multiply
    340,374x = 743,073 × 743,073
  4. Step 4: Simplify right side
    340,374x = 552,157,483,329
  5. Step 5: Solve for x
    x = 552,157,483,329/340,374
  6. Step 6: Final answer
    x = 1,622,208.17

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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.