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Finding the Third Proportional to 366,953 and 808,401

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Solution

The third proportional to 366,953 and 808,401 is: 1,780,915.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    366,953 : 808,401 = 808,401 : x
  2. Step 2: Convert to fraction form
    366,953/808,401 = 808,401/x
  3. Step 3: Cross multiply
    366,953x = 808,401 × 808,401
  4. Step 4: Simplify right side
    366,953x = 653,512,176,801
  5. Step 5: Solve for x
    x = 653,512,176,801/366,953
  6. Step 6: Final answer
    x = 1,780,915.20

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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.