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Finding the Third Proportional to 331,500 and 725,696

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Solution

The third proportional to 331,500 and 725,696 is: 1,588,641.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    331,500 : 725,696 = 725,696 : x
  2. Step 2: Convert to fraction form
    331,500/725,696 = 725,696/x
  3. Step 3: Cross multiply
    331,500x = 725,696 × 725,696
  4. Step 4: Simplify right side
    331,500x = 526,634,684,416
  5. Step 5: Solve for x
    x = 526,634,684,416/331,500
  6. Step 6: Final answer
    x = 1,588,641.58

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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.