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Finding the Third Proportional to 401,706 and 622,008

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Solution

The third proportional to 401,706 and 622,008 is: 963,127.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,706 : 622,008 = 622,008 : x
  2. Step 2: Convert to fraction form
    401,706/622,008 = 622,008/x
  3. Step 3: Cross multiply
    401,706x = 622,008 × 622,008
  4. Step 4: Simplify right side
    401,706x = 386,893,952,064
  5. Step 5: Solve for x
    x = 386,893,952,064/401,706
  6. Step 6: Final answer
    x = 963,127.14

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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.