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Finding the Third Proportional to 230,117 and 537,900

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Solution

The third proportional to 230,117 and 537,900 is: 1,257,344.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,117 : 537,900 = 537,900 : x
  2. Step 2: Convert to fraction form
    230,117/537,900 = 537,900/x
  3. Step 3: Cross multiply
    230,117x = 537,900 × 537,900
  4. Step 4: Simplify right side
    230,117x = 289,336,410,000
  5. Step 5: Solve for x
    x = 289,336,410,000/230,117
  6. Step 6: Final answer
    x = 1,257,344.79

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.