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Finding the Third Proportional to 243,524 and 520,662

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Solution

The third proportional to 243,524 and 520,662 is: 1,113,191.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,524 : 520,662 = 520,662 : x
  2. Step 2: Convert to fraction form
    243,524/520,662 = 520,662/x
  3. Step 3: Cross multiply
    243,524x = 520,662 × 520,662
  4. Step 4: Simplify right side
    243,524x = 271,088,918,244
  5. Step 5: Solve for x
    x = 271,088,918,244/243,524
  6. Step 6: Final answer
    x = 1,113,191.79

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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.