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Finding the Third Proportional to 247,764 and 530,508

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Solution

The third proportional to 247,764 and 530,508 is: 1,135,914.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    247,764 : 530,508 = 530,508 : x
  2. Step 2: Convert to fraction form
    247,764/530,508 = 530,508/x
  3. Step 3: Cross multiply
    247,764x = 530,508 × 530,508
  4. Step 4: Simplify right side
    247,764x = 281,438,738,064
  5. Step 5: Solve for x
    x = 281,438,738,064/247,764
  6. Step 6: Final answer
    x = 1,135,914.57

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.