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Finding the Third Proportional to 401,496 and 622,044

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Solution

The third proportional to 401,496 and 622,044 is: 963,742.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,496 : 622,044 = 622,044 : x
  2. Step 2: Convert to fraction form
    401,496/622,044 = 622,044/x
  3. Step 3: Cross multiply
    401,496x = 622,044 × 622,044
  4. Step 4: Simplify right side
    401,496x = 386,938,737,936
  5. Step 5: Solve for x
    x = 386,938,737,936/401,496
  6. Step 6: Final answer
    x = 963,742.45

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.