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Finding the Third Proportional to 300,082 and 453,336

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Solution

The third proportional to 300,082 and 453,336 is: 684,857.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,082 : 453,336 = 453,336 : x
  2. Step 2: Convert to fraction form
    300,082/453,336 = 453,336/x
  3. Step 3: Cross multiply
    300,082x = 453,336 × 453,336
  4. Step 4: Simplify right side
    300,082x = 205,513,528,896
  5. Step 5: Solve for x
    x = 205,513,528,896/300,082
  6. Step 6: Final answer
    x = 684,857.90

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.