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Finding the Third Proportional to 505,592.72 and 711,151.78

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Solution

The third proportional to 505,592.72 and 711,151.78 is: 1,000,285.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    505,592.72 : 711,151.78 = 711,151.78 : x
  2. Step 2: Convert to fraction form
    505,592.72/711,151.78 = 711,151.78/x
  3. Step 3: Cross multiply
    505,592.72x = 711,151.78 × 711,151.78
  4. Step 4: Simplify right side
    505,592.72x = 505,736,855,975.05
  5. Step 5: Solve for x
    x = 505,736,855,975.05/505,592.72
  6. Step 6: Final answer
    x = 1,000,285.09

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These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.