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Finding the Third Proportional to 270,254 and 588,073

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Solution

The third proportional to 270,254 and 588,073 is: 1,279,647.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,254 : 588,073 = 588,073 : x
  2. Step 2: Convert to fraction form
    270,254/588,073 = 588,073/x
  3. Step 3: Cross multiply
    270,254x = 588,073 × 588,073
  4. Step 4: Simplify right side
    270,254x = 345,829,853,329
  5. Step 5: Solve for x
    x = 345,829,853,329/270,254
  6. Step 6: Final answer
    x = 1,279,647.49

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.