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Finding the Third Proportional to 496,898 and 702,435

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Solution

The third proportional to 496,898 and 702,435 is: 992,990.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    496,898 : 702,435 = 702,435 : x
  2. Step 2: Convert to fraction form
    496,898/702,435 = 702,435/x
  3. Step 3: Cross multiply
    496,898x = 702,435 × 702,435
  4. Step 4: Simplify right side
    496,898x = 493,414,929,225
  5. Step 5: Solve for x
    x = 493,414,929,225/496,898
  6. Step 6: Final answer
    x = 992,990.37

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.