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Finding the Third Proportional to 230,612 and 504,964

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Solution

The third proportional to 230,612 and 504,964 is: 1,105,704.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,612 : 504,964 = 504,964 : x
  2. Step 2: Convert to fraction form
    230,612/504,964 = 504,964/x
  3. Step 3: Cross multiply
    230,612x = 504,964 × 504,964
  4. Step 4: Simplify right side
    230,612x = 254,988,641,296
  5. Step 5: Solve for x
    x = 254,988,641,296/230,612
  6. Step 6: Final answer
    x = 1,105,704.13

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.