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Finding the Third Proportional to 303,366 and 662,028

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Solution

The third proportional to 303,366 and 662,028 is: 1,444,727.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    303,366 : 662,028 = 662,028 : x
  2. Step 2: Convert to fraction form
    303,366/662,028 = 662,028/x
  3. Step 3: Cross multiply
    303,366x = 662,028 × 662,028
  4. Step 4: Simplify right side
    303,366x = 438,281,072,784
  5. Step 5: Solve for x
    x = 438,281,072,784/303,366
  6. Step 6: Final answer
    x = 1,444,727.07

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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.