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Finding the Third Proportional to 245,954 and 530,652

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Solution

The third proportional to 245,954 and 530,652 is: 1,144,895.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    245,954 : 530,652 = 530,652 : x
  2. Step 2: Convert to fraction form
    245,954/530,652 = 530,652/x
  3. Step 3: Cross multiply
    245,954x = 530,652 × 530,652
  4. Step 4: Simplify right side
    245,954x = 281,591,545,104
  5. Step 5: Solve for x
    x = 281,591,545,104/245,954
  6. Step 6: Final answer
    x = 1,144,895.16

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.