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Finding the Third Proportional to 332,343 and 724,842

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Solution

The third proportional to 332,343 and 724,842 is: 1,580,884.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    332,343 : 724,842 = 724,842 : x
  2. Step 2: Convert to fraction form
    332,343/724,842 = 724,842/x
  3. Step 3: Cross multiply
    332,343x = 724,842 × 724,842
  4. Step 4: Simplify right side
    332,343x = 525,395,924,964
  5. Step 5: Solve for x
    x = 525,395,924,964/332,343
  6. Step 6: Final answer
    x = 1,580,884.58

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.