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Finding the Third Proportional to 245,100 and 512,652

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Solution

The third proportional to 245,100 and 512,652 is: 1,072,264.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    245,100 : 512,652 = 512,652 : x
  2. Step 2: Convert to fraction form
    245,100/512,652 = 512,652/x
  3. Step 3: Cross multiply
    245,100x = 512,652 × 512,652
  4. Step 4: Simplify right side
    245,100x = 262,812,073,104
  5. Step 5: Solve for x
    x = 262,812,073,104/245,100
  6. Step 6: Final answer
    x = 1,072,264.68

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.