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Finding the Third Proportional to 407,277.25 and 894,683.75

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Solution

The third proportional to 407,277.25 and 894,683.75 is: 1,965,390.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,277.25 : 894,683.75 = 894,683.75 : x
  2. Step 2: Convert to fraction form
    407,277.25/894,683.75 = 894,683.75/x
  3. Step 3: Cross multiply
    407,277.25x = 894,683.75 × 894,683.75
  4. Step 4: Simplify right side
    407,277.25x = 800,459,012,514.06
  5. Step 5: Solve for x
    x = 800,459,012,514.06/407,277.25
  6. Step 6: Final answer
    x = 1,965,390.93

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.