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Finding the Third Proportional to 505,595 and 711,154

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Solution

The third proportional to 505,595 and 711,154 is: 1,000,286.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    505,595 : 711,154 = 711,154 : x
  2. Step 2: Convert to fraction form
    505,595/711,154 = 711,154/x
  3. Step 3: Cross multiply
    505,595x = 711,154 × 711,154
  4. Step 4: Simplify right side
    505,595x = 505,740,011,716
  5. Step 5: Solve for x
    x = 505,740,011,716/505,595
  6. Step 6: Final answer
    x = 1,000,286.81

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Why These Related Problems?

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