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Finding the Third Proportional to 245,660 and 520,843.50

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Solution

The third proportional to 245,660 and 520,843.50 is: 1,104,282.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    245,660 : 520,843.50 = 520,843.50 : x
  2. Step 2: Convert to fraction form
    245,660/520,843.50 = 520,843.50/x
  3. Step 3: Cross multiply
    245,660x = 520,843.50 × 520,843.50
  4. Step 4: Simplify right side
    245,660x = 271,277,951,492.25
  5. Step 5: Solve for x
    x = 271,277,951,492.25/245,660
  6. Step 6: Final answer
    x = 1,104,282.14

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.