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Finding the Third Proportional to 331,501 and 725,698

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Solution

The third proportional to 331,501 and 725,698 is: 1,588,645.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    331,501 : 725,698 = 725,698 : x
  2. Step 2: Convert to fraction form
    331,501/725,698 = 725,698/x
  3. Step 3: Cross multiply
    331,501x = 725,698 × 725,698
  4. Step 4: Simplify right side
    331,501x = 526,637,587,204
  5. Step 5: Solve for x
    x = 526,637,587,204/331,501
  6. Step 6: Final answer
    x = 1,588,645.55

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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.