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Finding the Third Proportional to 326,456 and 702,688

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Solution

The third proportional to 326,456 and 702,688 is: 1,512,517.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    326,456 : 702,688 = 702,688 : x
  2. Step 2: Convert to fraction form
    326,456/702,688 = 702,688/x
  3. Step 3: Cross multiply
    326,456x = 702,688 × 702,688
  4. Step 4: Simplify right side
    326,456x = 493,770,425,344
  5. Step 5: Solve for x
    x = 493,770,425,344/326,456
  6. Step 6: Final answer
    x = 1,512,517.54

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.