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Finding the Third Proportional to 332,903.81 and 727,931.81

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Solution

The third proportional to 332,903.81 and 727,931.81 is: 1,591,705.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    332,903.81 : 727,931.81 = 727,931.81 : x
  2. Step 2: Convert to fraction form
    332,903.81/727,931.81 = 727,931.81/x
  3. Step 3: Cross multiply
    332,903.81x = 727,931.81 × 727,931.81
  4. Step 4: Simplify right side
    332,903.81x = 529,884,723,649.54
  5. Step 5: Solve for x
    x = 529,884,723,649.54/332,903.81
  6. Step 6: Final answer
    x = 1,591,705.18

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.