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Finding the Third Proportional to 343,682.25 and 754,608

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Solution

The third proportional to 343,682.25 and 754,608 is: 1,656,859.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,682.25 : 754,608 = 754,608 : x
  2. Step 2: Convert to fraction form
    343,682.25/754,608 = 754,608/x
  3. Step 3: Cross multiply
    343,682.25x = 754,608 × 754,608
  4. Step 4: Simplify right side
    343,682.25x = 569,433,233,664
  5. Step 5: Solve for x
    x = 569,433,233,664/343,682.25
  6. Step 6: Final answer
    x = 1,656,859.60

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.