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Finding the Third Proportional to 244,350 and 530,457

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Solution

The third proportional to 244,350 and 530,457 is: 1,151,563.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    244,350 : 530,457 = 530,457 : x
  2. Step 2: Convert to fraction form
    244,350/530,457 = 530,457/x
  3. Step 3: Cross multiply
    244,350x = 530,457 × 530,457
  4. Step 4: Simplify right side
    244,350x = 281,384,628,849
  5. Step 5: Solve for x
    x = 281,384,628,849/244,350
  6. Step 6: Final answer
    x = 1,151,563.86

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.