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Finding the Third Proportional to 283,503 and 579,966

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Solution

The third proportional to 283,503 and 579,966 is: 1,186,444.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,503 : 579,966 = 579,966 : x
  2. Step 2: Convert to fraction form
    283,503/579,966 = 579,966/x
  3. Step 3: Cross multiply
    283,503x = 579,966 × 579,966
  4. Step 4: Simplify right side
    283,503x = 336,360,561,156
  5. Step 5: Solve for x
    x = 336,360,561,156/283,503
  6. Step 6: Final answer
    x = 1,186,444.45

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.