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Finding the Third Proportional to 310,452 and 661,608

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Solution

The third proportional to 310,452 and 661,608 is: 1,409,960.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,452 : 661,608 = 661,608 : x
  2. Step 2: Convert to fraction form
    310,452/661,608 = 661,608/x
  3. Step 3: Cross multiply
    310,452x = 661,608 × 661,608
  4. Step 4: Simplify right side
    310,452x = 437,725,145,664
  5. Step 5: Solve for x
    x = 437,725,145,664/310,452
  6. Step 6: Final answer
    x = 1,409,960.79

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.