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Finding the Third Proportional to 303,735 and 453,141

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Solution

The third proportional to 303,735 and 453,141 is: 676,039.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    303,735 : 453,141 = 453,141 : x
  2. Step 2: Convert to fraction form
    303,735/453,141 = 453,141/x
  3. Step 3: Cross multiply
    303,735x = 453,141 × 453,141
  4. Step 4: Simplify right side
    303,735x = 205,336,765,881
  5. Step 5: Solve for x
    x = 205,336,765,881/303,735
  6. Step 6: Final answer
    x = 676,039.20

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.