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Finding the Third Proportional to 332,574 and 731,608

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Solution

The third proportional to 332,574 and 731,608 is: 1,609,417.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    332,574 : 731,608 = 731,608 : x
  2. Step 2: Convert to fraction form
    332,574/731,608 = 731,608/x
  3. Step 3: Cross multiply
    332,574x = 731,608 × 731,608
  4. Step 4: Simplify right side
    332,574x = 535,250,265,664
  5. Step 5: Solve for x
    x = 535,250,265,664/332,574
  6. Step 6: Final answer
    x = 1,609,417.05

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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.