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Finding the Third Proportional to 300,202 and 460,287

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Solution

The third proportional to 300,202 and 460,287 is: 705,738.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,202 : 460,287 = 460,287 : x
  2. Step 2: Convert to fraction form
    300,202/460,287 = 460,287/x
  3. Step 3: Cross multiply
    300,202x = 460,287 × 460,287
  4. Step 4: Simplify right side
    300,202x = 211,864,122,369
  5. Step 5: Solve for x
    x = 211,864,122,369/300,202
  6. Step 6: Final answer
    x = 705,738.54

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.