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Finding the Third Proportional to 244,008 and 503,082

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Solution

The third proportional to 244,008 and 503,082 is: 1,037,226.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    244,008 : 503,082 = 503,082 : x
  2. Step 2: Convert to fraction form
    244,008/503,082 = 503,082/x
  3. Step 3: Cross multiply
    244,008x = 503,082 × 503,082
  4. Step 4: Simplify right side
    244,008x = 253,091,498,724
  5. Step 5: Solve for x
    x = 253,091,498,724/244,008
  6. Step 6: Final answer
    x = 1,037,226.23

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.