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Finding the Third Proportional to 332,389.13 and 546,086.81

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Solution

The third proportional to 332,389.13 and 546,086.81 is: 897,173.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    332,389.13 : 546,086.81 = 546,086.81 : x
  2. Step 2: Convert to fraction form
    332,389.13/546,086.81 = 546,086.81/x
  3. Step 3: Cross multiply
    332,389.13x = 546,086.81 × 546,086.81
  4. Step 4: Simplify right side
    332,389.13x = 298,210,806,786.41
  5. Step 5: Solve for x
    x = 298,210,806,786.41/332,389.13
  6. Step 6: Final answer
    x = 897,173.78

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Why These Related Problems?

These problems maintain the same ratio (1.64) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.