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Finding the Third Proportional to 250,506 and 509,761

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Solution

The third proportional to 250,506 and 509,761 is: 1,037,325.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    250,506 : 509,761 = 509,761 : x
  2. Step 2: Convert to fraction form
    250,506/509,761 = 509,761/x
  3. Step 3: Cross multiply
    250,506x = 509,761 × 509,761
  4. Step 4: Simplify right side
    250,506x = 259,856,277,121
  5. Step 5: Solve for x
    x = 259,856,277,121/250,506
  6. Step 6: Final answer
    x = 1,037,325.56

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.