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Finding the Third Proportional to 653,313 and 996,578

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Solution

The third proportional to 653,313 and 996,578 is: 1,520,201.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    653,313 : 996,578 = 996,578 : x
  2. Step 2: Convert to fraction form
    653,313/996,578 = 996,578/x
  3. Step 3: Cross multiply
    653,313x = 996,578 × 996,578
  4. Step 4: Simplify right side
    653,313x = 993,167,710,084
  5. Step 5: Solve for x
    x = 993,167,710,084/653,313
  6. Step 6: Final answer
    x = 1,520,201.97

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.