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Finding the Third Proportional to 279,056 and 431,304

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Solution

The third proportional to 279,056 and 431,304 is: 666,615.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    279,056 : 431,304 = 431,304 : x
  2. Step 2: Convert to fraction form
    279,056/431,304 = 431,304/x
  3. Step 3: Cross multiply
    279,056x = 431,304 × 431,304
  4. Step 4: Simplify right side
    279,056x = 186,023,140,416
  5. Step 5: Solve for x
    x = 186,023,140,416/279,056
  6. Step 6: Final answer
    x = 666,615.81

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.