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Finding the Third Proportional to 300,607 and 450,082

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Solution

The third proportional to 300,607 and 450,082 is: 673,882.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,607 : 450,082 = 450,082 : x
  2. Step 2: Convert to fraction form
    300,607/450,082 = 450,082/x
  3. Step 3: Cross multiply
    300,607x = 450,082 × 450,082
  4. Step 4: Simplify right side
    300,607x = 202,573,806,724
  5. Step 5: Solve for x
    x = 202,573,806,724/300,607
  6. Step 6: Final answer
    x = 673,882.53

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.