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Finding the Third Proportional to 351,024 and 550,086

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Solution

The third proportional to 351,024 and 550,086 is: 862,033.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    351,024 : 550,086 = 550,086 : x
  2. Step 2: Convert to fraction form
    351,024/550,086 = 550,086/x
  3. Step 3: Cross multiply
    351,024x = 550,086 × 550,086
  4. Step 4: Simplify right side
    351,024x = 302,594,607,396
  5. Step 5: Solve for x
    x = 302,594,607,396/351,024
  6. Step 6: Final answer
    x = 862,033.96

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.