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Finding the Third Proportional to 414,358.50 and 907,794

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Solution

The third proportional to 414,358.50 and 907,794 is: 1,988,833.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,358.50 : 907,794 = 907,794 : x
  2. Step 2: Convert to fraction form
    414,358.50/907,794 = 907,794/x
  3. Step 3: Cross multiply
    414,358.50x = 907,794 × 907,794
  4. Step 4: Simplify right side
    414,358.50x = 824,089,946,436
  5. Step 5: Solve for x
    x = 824,089,946,436/414,358.50
  6. Step 6: Final answer
    x = 1,988,833.21

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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.