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Finding the Third Proportional to 582,423.50 and 1,251,296

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Solution

The third proportional to 582,423.50 and 1,251,296 is: 2,688,321.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    582,423.50 : 1,251,296 = 1,251,296 : x
  2. Step 2: Convert to fraction form
    582,423.50/1,251,296 = 1,251,296/x
  3. Step 3: Cross multiply
    582,423.50x = 1,251,296 × 1,251,296
  4. Step 4: Simplify right side
    582,423.50x = 1,565,741,679,616
  5. Step 5: Solve for x
    x = 1,565,741,679,616/582,423.50
  6. Step 6: Final answer
    x = 2,688,321.61

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.