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Finding the Third Proportional to 311,037 and 653,403

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Solution

The third proportional to 311,037 and 653,403 is: 1,372,619.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,037 : 653,403 = 653,403 : x
  2. Step 2: Convert to fraction form
    311,037/653,403 = 653,403/x
  3. Step 3: Cross multiply
    311,037x = 653,403 × 653,403
  4. Step 4: Simplify right side
    311,037x = 426,935,480,409
  5. Step 5: Solve for x
    x = 426,935,480,409/311,037
  6. Step 6: Final answer
    x = 1,372,619.59

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.