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Finding the Third Proportional to 332,323 and 724,796

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Solution

The third proportional to 332,323 and 724,796 is: 1,580,779.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    332,323 : 724,796 = 724,796 : x
  2. Step 2: Convert to fraction form
    332,323/724,796 = 724,796/x
  3. Step 3: Cross multiply
    332,323x = 724,796 × 724,796
  4. Step 4: Simplify right side
    332,323x = 525,329,241,616
  5. Step 5: Solve for x
    x = 525,329,241,616/332,323
  6. Step 6: Final answer
    x = 1,580,779.07

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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.