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Finding the Third Proportional to 279,722 and 430,203

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Solution

The third proportional to 279,722 and 430,203 is: 661,637.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    279,722 : 430,203 = 430,203 : x
  2. Step 2: Convert to fraction form
    279,722/430,203 = 430,203/x
  3. Step 3: Cross multiply
    279,722x = 430,203 × 430,203
  4. Step 4: Simplify right side
    279,722x = 185,074,621,209
  5. Step 5: Solve for x
    x = 185,074,621,209/279,722
  6. Step 6: Final answer
    x = 661,637.70

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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.