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Finding the Third Proportional to 240,597 and 487,026

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Solution

The third proportional to 240,597 and 487,026 is: 985,857.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    240,597 : 487,026 = 487,026 : x
  2. Step 2: Convert to fraction form
    240,597/487,026 = 487,026/x
  3. Step 3: Cross multiply
    240,597x = 487,026 × 487,026
  4. Step 4: Simplify right side
    240,597x = 237,194,324,676
  5. Step 5: Solve for x
    x = 237,194,324,676/240,597
  6. Step 6: Final answer
    x = 985,857.37

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Why These Related Problems?

These problems maintain the same ratio (2.02) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.