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Finding the Third Proportional to 375,536 and 800,416

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Solution

The third proportional to 375,536 and 800,416 is: 1,706,003.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    375,536 : 800,416 = 800,416 : x
  2. Step 2: Convert to fraction form
    375,536/800,416 = 800,416/x
  3. Step 3: Cross multiply
    375,536x = 800,416 × 800,416
  4. Step 4: Simplify right side
    375,536x = 640,665,773,056
  5. Step 5: Solve for x
    x = 640,665,773,056/375,536
  6. Step 6: Final answer
    x = 1,706,003.61

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.