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Finding the Third Proportional to 233,420 and 509,086

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Solution

The third proportional to 233,420 and 509,086 is: 1,110,309.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,420 : 509,086 = 509,086 : x
  2. Step 2: Convert to fraction form
    233,420/509,086 = 509,086/x
  3. Step 3: Cross multiply
    233,420x = 509,086 × 509,086
  4. Step 4: Simplify right side
    233,420x = 259,168,555,396
  5. Step 5: Solve for x
    x = 259,168,555,396/233,420
  6. Step 6: Final answer
    x = 1,110,309.98

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.