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Finding the Third Proportional to 513,774 and 818,226

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Solution

The third proportional to 513,774 and 818,226 is: 1,303,090.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,774 : 818,226 = 818,226 : x
  2. Step 2: Convert to fraction form
    513,774/818,226 = 818,226/x
  3. Step 3: Cross multiply
    513,774x = 818,226 × 818,226
  4. Step 4: Simplify right side
    513,774x = 669,493,787,076
  5. Step 5: Solve for x
    x = 669,493,787,076/513,774
  6. Step 6: Final answer
    x = 1,303,090.05

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.