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Finding the Third Proportional to 344,718 and 753,588

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Solution

The third proportional to 344,718 and 753,588 is: 1,647,418.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    344,718 : 753,588 = 753,588 : x
  2. Step 2: Convert to fraction form
    344,718/753,588 = 753,588/x
  3. Step 3: Cross multiply
    344,718x = 753,588 × 753,588
  4. Step 4: Simplify right side
    344,718x = 567,894,873,744
  5. Step 5: Solve for x
    x = 567,894,873,744/344,718
  6. Step 6: Final answer
    x = 1,647,418.68

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.