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Finding the Third Proportional to 229,077 and 473,867.50

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Solution

The third proportional to 229,077 and 473,867.50 is: 980,239.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,077 : 473,867.50 = 473,867.50 : x
  2. Step 2: Convert to fraction form
    229,077/473,867.50 = 473,867.50/x
  3. Step 3: Cross multiply
    229,077x = 473,867.50 × 473,867.50
  4. Step 4: Simplify right side
    229,077x = 224,550,407,556.25
  5. Step 5: Solve for x
    x = 224,550,407,556.25/229,077
  6. Step 6: Final answer
    x = 980,239.87

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.