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Finding the Third Proportional to 436,176 and 960,156

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Solution

The third proportional to 436,176 and 960,156 is: 2,113,595.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    436,176 : 960,156 = 960,156 : x
  2. Step 2: Convert to fraction form
    436,176/960,156 = 960,156/x
  3. Step 3: Cross multiply
    436,176x = 960,156 × 960,156
  4. Step 4: Simplify right side
    436,176x = 921,899,544,336
  5. Step 5: Solve for x
    x = 921,899,544,336/436,176
  6. Step 6: Final answer
    x = 2,113,595.30

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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.