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Finding the Third Proportional to 332,370 and 724,896

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Solution

The third proportional to 332,370 and 724,896 is: 1,580,991.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    332,370 : 724,896 = 724,896 : x
  2. Step 2: Convert to fraction form
    332,370/724,896 = 724,896/x
  3. Step 3: Cross multiply
    332,370x = 724,896 × 724,896
  4. Step 4: Simplify right side
    332,370x = 525,474,210,816
  5. Step 5: Solve for x
    x = 525,474,210,816/332,370
  6. Step 6: Final answer
    x = 1,580,991.70

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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.