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Finding the Third Proportional to 229,077 and 473,868

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Solution

The third proportional to 229,077 and 473,868 is: 980,241.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,077 : 473,868 = 473,868 : x
  2. Step 2: Convert to fraction form
    229,077/473,868 = 473,868/x
  3. Step 3: Cross multiply
    229,077x = 473,868 × 473,868
  4. Step 4: Simplify right side
    229,077x = 224,550,881,424
  5. Step 5: Solve for x
    x = 224,550,881,424/229,077
  6. Step 6: Final answer
    x = 980,241.93

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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.