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Finding the Third Proportional to 466,836 and 660,615

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Solution

The third proportional to 466,836 and 660,615 is: 934,829.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    466,836 : 660,615 = 660,615 : x
  2. Step 2: Convert to fraction form
    466,836/660,615 = 660,615/x
  3. Step 3: Cross multiply
    466,836x = 660,615 × 660,615
  4. Step 4: Simplify right side
    466,836x = 436,412,178,225
  5. Step 5: Solve for x
    x = 436,412,178,225/466,836
  6. Step 6: Final answer
    x = 934,829.74

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.