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Finding the Third Proportional to 416,080.50 and 896,252.25

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Solution

The third proportional to 416,080.50 and 896,252.25 is: 1,930,559.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,080.50 : 896,252.25 = 896,252.25 : x
  2. Step 2: Convert to fraction form
    416,080.50/896,252.25 = 896,252.25/x
  3. Step 3: Cross multiply
    416,080.50x = 896,252.25 × 896,252.25
  4. Step 4: Simplify right side
    416,080.50x = 803,268,095,630.06
  5. Step 5: Solve for x
    x = 803,268,095,630.06/416,080.50
  6. Step 6: Final answer
    x = 1,930,559.34

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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.