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Finding the Third Proportional to 410,447.25 and 881,583.75

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Solution

The third proportional to 410,447.25 and 881,583.75 is: 1,893,519.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,447.25 : 881,583.75 = 881,583.75 : x
  2. Step 2: Convert to fraction form
    410,447.25/881,583.75 = 881,583.75/x
  3. Step 3: Cross multiply
    410,447.25x = 881,583.75 × 881,583.75
  4. Step 4: Simplify right side
    410,447.25x = 777,189,908,264.06
  5. Step 5: Solve for x
    x = 777,189,908,264.06/410,447.25
  6. Step 6: Final answer
    x = 1,893,519.59

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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.