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Finding the Third Proportional to 332,602 and 731,664

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Solution

The third proportional to 332,602 and 731,664 is: 1,609,527.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    332,602 : 731,664 = 731,664 : x
  2. Step 2: Convert to fraction form
    332,602/731,664 = 731,664/x
  3. Step 3: Cross multiply
    332,602x = 731,664 × 731,664
  4. Step 4: Simplify right side
    332,602x = 535,332,208,896
  5. Step 5: Solve for x
    x = 535,332,208,896/332,602
  6. Step 6: Final answer
    x = 1,609,527.93

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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.