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Finding the Third Proportional to 303,258.94 and 469,665.84

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Solution

The third proportional to 303,258.94 and 469,665.84 is: 727,385.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    303,258.94 : 469,665.84 = 469,665.84 : x
  2. Step 2: Convert to fraction form
    303,258.94/469,665.84 = 469,665.84/x
  3. Step 3: Cross multiply
    303,258.94x = 469,665.84 × 469,665.84
  4. Step 4: Simplify right side
    303,258.94x = 220,586,004,785.40
  5. Step 5: Solve for x
    x = 220,586,004,785.40/303,258.94
  6. Step 6: Final answer
    x = 727,385.01

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.