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Finding the Third Proportional to 465,311.50 and 746,558.50

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Solution

The third proportional to 465,311.50 and 746,558.50 is: 1,197,798.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,311.50 : 746,558.50 = 746,558.50 : x
  2. Step 2: Convert to fraction form
    465,311.50/746,558.50 = 746,558.50/x
  3. Step 3: Cross multiply
    465,311.50x = 746,558.50 × 746,558.50
  4. Step 4: Simplify right side
    465,311.50x = 557,349,593,922.25
  5. Step 5: Solve for x
    x = 557,349,593,922.25/465,311.50
  6. Step 6: Final answer
    x = 1,197,798.88

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.