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Finding the Third Proportional to 366,962 and 808,415

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Solution

The third proportional to 366,962 and 808,415 is: 1,780,933.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    366,962 : 808,415 = 808,415 : x
  2. Step 2: Convert to fraction form
    366,962/808,415 = 808,415/x
  3. Step 3: Cross multiply
    366,962x = 808,415 × 808,415
  4. Step 4: Simplify right side
    366,962x = 653,534,812,225
  5. Step 5: Solve for x
    x = 653,534,812,225/366,962
  6. Step 6: Final answer
    x = 1,780,933.21

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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.