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Finding the Third Proportional to 332,341 and 724,833

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Solution

The third proportional to 332,341 and 724,833 is: 1,580,854.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    332,341 : 724,833 = 724,833 : x
  2. Step 2: Convert to fraction form
    332,341/724,833 = 724,833/x
  3. Step 3: Cross multiply
    332,341x = 724,833 × 724,833
  4. Step 4: Simplify right side
    332,341x = 525,382,877,889
  5. Step 5: Solve for x
    x = 525,382,877,889/332,341
  6. Step 6: Final answer
    x = 1,580,854.84

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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.