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Finding the Third Proportional to 209,177.44 and 430,740.28

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Solution

The third proportional to 209,177.44 and 430,740.28 is: 886,984.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,177.44 : 430,740.28 = 430,740.28 : x
  2. Step 2: Convert to fraction form
    209,177.44/430,740.28 = 430,740.28/x
  3. Step 3: Cross multiply
    209,177.44x = 430,740.28 × 430,740.28
  4. Step 4: Simplify right side
    209,177.44x = 185,537,189,891.33
  5. Step 5: Solve for x
    x = 185,537,189,891.33/209,177.44
  6. Step 6: Final answer
    x = 886,984.72

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.