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Finding the Third Proportional to 230,082 and 537,834

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Solution

The third proportional to 230,082 and 537,834 is: 1,257,227.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,082 : 537,834 = 537,834 : x
  2. Step 2: Convert to fraction form
    230,082/537,834 = 537,834/x
  3. Step 3: Cross multiply
    230,082x = 537,834 × 537,834
  4. Step 4: Simplify right side
    230,082x = 289,265,411,556
  5. Step 5: Solve for x
    x = 289,265,411,556/230,082
  6. Step 6: Final answer
    x = 1,257,227.47

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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.