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Finding the Third Proportional to 332,304 and 728,937

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Solution

The third proportional to 332,304 and 728,937 is: 1,598,985.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    332,304 : 728,937 = 728,937 : x
  2. Step 2: Convert to fraction form
    332,304/728,937 = 728,937/x
  3. Step 3: Cross multiply
    332,304x = 728,937 × 728,937
  4. Step 4: Simplify right side
    332,304x = 531,349,149,969
  5. Step 5: Solve for x
    x = 531,349,149,969/332,304
  6. Step 6: Final answer
    x = 1,598,985.12

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.