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Finding the Third Proportional to 230,886 and 504,432

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Solution

The third proportional to 230,886 and 504,432 is: 1,102,066.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,886 : 504,432 = 504,432 : x
  2. Step 2: Convert to fraction form
    230,886/504,432 = 504,432/x
  3. Step 3: Cross multiply
    230,886x = 504,432 × 504,432
  4. Step 4: Simplify right side
    230,886x = 254,451,642,624
  5. Step 5: Solve for x
    x = 254,451,642,624/230,886
  6. Step 6: Final answer
    x = 1,102,066.14

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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.