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Finding the Third Proportional to 356,682 and 521,898

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Solution

The third proportional to 356,682 and 521,898 is: 763,642.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    356,682 : 521,898 = 521,898 : x
  2. Step 2: Convert to fraction form
    356,682/521,898 = 521,898/x
  3. Step 3: Cross multiply
    356,682x = 521,898 × 521,898
  4. Step 4: Simplify right side
    356,682x = 272,377,522,404
  5. Step 5: Solve for x
    x = 272,377,522,404/356,682
  6. Step 6: Final answer
    x = 763,642.47

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.