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Finding the Third Proportional to 410,033.25 and 899,763.75

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Solution

The third proportional to 410,033.25 and 899,763.75 is: 1,974,412.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,033.25 : 899,763.75 = 899,763.75 : x
  2. Step 2: Convert to fraction form
    410,033.25/899,763.75 = 899,763.75/x
  3. Step 3: Cross multiply
    410,033.25x = 899,763.75 × 899,763.75
  4. Step 4: Simplify right side
    410,033.25x = 809,574,805,814.06
  5. Step 5: Solve for x
    x = 809,574,805,814.06/410,033.25
  6. Step 6: Final answer
    x = 1,974,412.58

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.