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Finding the Third Proportional to 202,511 and 477,435

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Solution

The third proportional to 202,511 and 477,435 is: 1,125,589.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,511 : 477,435 = 477,435 : x
  2. Step 2: Convert to fraction form
    202,511/477,435 = 477,435/x
  3. Step 3: Cross multiply
    202,511x = 477,435 × 477,435
  4. Step 4: Simplify right side
    202,511x = 227,944,179,225
  5. Step 5: Solve for x
    x = 227,944,179,225/202,511
  6. Step 6: Final answer
    x = 1,125,589.12

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.