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Finding the Third Proportional to 482,782.50 and 1,027,935

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Solution

The third proportional to 482,782.50 and 1,027,935 is: 2,188,667.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    482,782.50 : 1,027,935 = 1,027,935 : x
  2. Step 2: Convert to fraction form
    482,782.50/1,027,935 = 1,027,935/x
  3. Step 3: Cross multiply
    482,782.50x = 1,027,935 × 1,027,935
  4. Step 4: Simplify right side
    482,782.50x = 1,056,650,364,225
  5. Step 5: Solve for x
    x = 1,056,650,364,225/482,782.50
  6. Step 6: Final answer
    x = 2,188,667.49

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.