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Finding the Third Proportional to 230,694 and 503,124

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Solution

The third proportional to 230,694 and 503,124 is: 1,097,270.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,694 : 503,124 = 503,124 : x
  2. Step 2: Convert to fraction form
    230,694/503,124 = 503,124/x
  3. Step 3: Cross multiply
    230,694x = 503,124 × 503,124
  4. Step 4: Simplify right side
    230,694x = 253,133,759,376
  5. Step 5: Solve for x
    x = 253,133,759,376/230,694
  6. Step 6: Final answer
    x = 1,097,270.67

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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.