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Finding the Third Proportional to 340,398 and 725,508

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Solution

The third proportional to 340,398 and 725,508 is: 1,546,313.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,398 : 725,508 = 725,508 : x
  2. Step 2: Convert to fraction form
    340,398/725,508 = 725,508/x
  3. Step 3: Cross multiply
    340,398x = 725,508 × 725,508
  4. Step 4: Simplify right side
    340,398x = 526,361,858,064
  5. Step 5: Solve for x
    x = 526,361,858,064/340,398
  6. Step 6: Final answer
    x = 1,546,313.02

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.