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Finding the Third Proportional to 403,814 and 622,569

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Solution

The third proportional to 403,814 and 622,569 is: 959,828.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,814 : 622,569 = 622,569 : x
  2. Step 2: Convert to fraction form
    403,814/622,569 = 622,569/x
  3. Step 3: Cross multiply
    403,814x = 622,569 × 622,569
  4. Step 4: Simplify right side
    403,814x = 387,592,159,761
  5. Step 5: Solve for x
    x = 387,592,159,761/403,814
  6. Step 6: Final answer
    x = 959,828.44

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.