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Finding the Third Proportional to 504,517.75 and 781,995

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Solution

The third proportional to 504,517.75 and 781,995 is: 1,212,080.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    504,517.75 : 781,995 = 781,995 : x
  2. Step 2: Convert to fraction form
    504,517.75/781,995 = 781,995/x
  3. Step 3: Cross multiply
    504,517.75x = 781,995 × 781,995
  4. Step 4: Simplify right side
    504,517.75x = 611,516,180,025
  5. Step 5: Solve for x
    x = 611,516,180,025/504,517.75
  6. Step 6: Final answer
    x = 1,212,080.61

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.