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Finding the Third Proportional to 407,110.50 and 632,659.50

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Solution

The third proportional to 407,110.50 and 632,659.50 is: 983,168.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,110.50 : 632,659.50 = 632,659.50 : x
  2. Step 2: Convert to fraction form
    407,110.50/632,659.50 = 632,659.50/x
  3. Step 3: Cross multiply
    407,110.50x = 632,659.50 × 632,659.50
  4. Step 4: Simplify right side
    407,110.50x = 400,258,042,940.25
  5. Step 5: Solve for x
    x = 400,258,042,940.25/407,110.50
  6. Step 6: Final answer
    x = 983,168.07

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.