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Finding the Third Proportional to 279,708 and 430,181

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Solution

The third proportional to 279,708 and 430,181 is: 661,603.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    279,708 : 430,181 = 430,181 : x
  2. Step 2: Convert to fraction form
    279,708/430,181 = 430,181/x
  3. Step 3: Cross multiply
    279,708x = 430,181 × 430,181
  4. Step 4: Simplify right side
    279,708x = 185,055,692,761
  5. Step 5: Solve for x
    x = 185,055,692,761/279,708
  6. Step 6: Final answer
    x = 661,603.15

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.