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Finding the Third Proportional to 582,321.75 and 1,234,627.50

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Solution

The third proportional to 582,321.75 and 1,234,627.50 is: 2,617,633.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    582,321.75 : 1,234,627.50 = 1,234,627.50 : x
  2. Step 2: Convert to fraction form
    582,321.75/1,234,627.50 = 1,234,627.50/x
  3. Step 3: Cross multiply
    582,321.75x = 1,234,627.50 × 1,234,627.50
  4. Step 4: Simplify right side
    582,321.75x = 1,524,305,063,756.25
  5. Step 5: Solve for x
    x = 1,524,305,063,756.25/582,321.75
  6. Step 6: Final answer
    x = 2,617,633.75

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.