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Finding the Third Proportional to 529,363.69 and 820,843.88

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Solution

The third proportional to 529,363.69 and 820,843.88 is: 1,272,819.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    529,363.69 : 820,843.88 = 820,843.88 : x
  2. Step 2: Convert to fraction form
    529,363.69/820,843.88 = 820,843.88/x
  3. Step 3: Cross multiply
    529,363.69x = 820,843.88 × 820,843.88
  4. Step 4: Simplify right side
    529,363.69x = 673,784,667,125.02
  5. Step 5: Solve for x
    x = 673,784,667,125.02/529,363.69
  6. Step 6: Final answer
    x = 1,272,819.96

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.