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Finding the Third Proportional to 316,037 and 693,898

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Solution

The third proportional to 316,037 and 693,898 is: 1,523,538.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    316,037 : 693,898 = 693,898 : x
  2. Step 2: Convert to fraction form
    316,037/693,898 = 693,898/x
  3. Step 3: Cross multiply
    316,037x = 693,898 × 693,898
  4. Step 4: Simplify right side
    316,037x = 481,494,434,404
  5. Step 5: Solve for x
    x = 481,494,434,404/316,037
  6. Step 6: Final answer
    x = 1,523,538.18

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.