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Finding the Third Proportional to 305,624 and 668,049

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Solution

The third proportional to 305,624 and 668,049 is: 1,460,256.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,624 : 668,049 = 668,049 : x
  2. Step 2: Convert to fraction form
    305,624/668,049 = 668,049/x
  3. Step 3: Cross multiply
    305,624x = 668,049 × 668,049
  4. Step 4: Simplify right side
    305,624x = 446,289,466,401
  5. Step 5: Solve for x
    x = 446,289,466,401/305,624
  6. Step 6: Final answer
    x = 1,460,256.61

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.