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Finding the Third Proportional to 264,098 and 514,966

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Solution

The third proportional to 264,098 and 514,966 is: 1,004,134.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,098 : 514,966 = 514,966 : x
  2. Step 2: Convert to fraction form
    264,098/514,966 = 514,966/x
  3. Step 3: Cross multiply
    264,098x = 514,966 × 514,966
  4. Step 4: Simplify right side
    264,098x = 265,189,981,156
  5. Step 5: Solve for x
    x = 265,189,981,156/264,098
  6. Step 6: Final answer
    x = 1,004,134.76

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.