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Finding the Third Proportional to 416,225.25 and 897,243.75

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Solution

The third proportional to 416,225.25 and 897,243.75 is: 1,934,160.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,225.25 : 897,243.75 = 897,243.75 : x
  2. Step 2: Convert to fraction form
    416,225.25/897,243.75 = 897,243.75/x
  3. Step 3: Cross multiply
    416,225.25x = 897,243.75 × 897,243.75
  4. Step 4: Simplify right side
    416,225.25x = 805,046,346,914.06
  5. Step 5: Solve for x
    x = 805,046,346,914.06/416,225.25
  6. Step 6: Final answer
    x = 1,934,160.28

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.